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50328435600 = 24325237392
BaseRepresentation
bin101110110111110011…
…101111101110010000
311210220110211102120100
4232313303233232100
51311033034414400
635042013012400
73431120433642
oct566763575620
9153813742510
1050328435600
111a3870a9633
129906a84100
134990b15711
1426161c6892
15149861e100
hexbb7cefb90

50328435600 has 135 divisors (see below), whose sum is σ = 174700375473. Its totient is φ = 13417326720.

The previous prime is 50328435583. The next prime is 50328435601. The reversal of 50328435600 is 653482305.

It is a happy number.

The square root of 50328435600 is 224340.

It is a perfect power (a square), and thus also a powerful number.

50328435600 is a `hidden beast` number, since 5 + 0 + 3 + 2 + 8 + 43 + 5 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18118236816 + 32210198784 = 134604^2 + 179472^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (50328435601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13458531 + ... + 13462269.

Almost surely, 250328435600 is an apocalyptic number.

50328435600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

50328435600 is the 224340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50328435600

50328435600 is an abundant number, since it is smaller than the sum of its proper divisors (124371939873).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

50328435600 is an equidigital number, since it uses as much as digits as its factorization.

50328435600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7502 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Multiplying 50328435600 by its sum of digits (36), we get a square (1811823681600 = 13460402).

50328435600 divided by its sum of digits (36) gives a square (1398012100 = 373902).

The spelling of 50328435600 in words is "fifty billion, three hundred twenty-eight million, four hundred thirty-five thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 3739 7478 11217 14956 18695 22434 29912 33651 37390 44868 56085 59824 67302 74780 89736 93475 112170 134604 149560 168255 179472 186950 224340 269208 280425 299120 336510 373900 448680 538416 560850 673020 747800 841275 897360 1121700 1346040 1495600 1682550 2243400 2692080 3365100 4486800 6730200 13460400 13980121 27960242 41940363 55920484 69900605 83880726 111840968 125821089 139801210 167761452 209701815 223681936 251642178 279602420 335522904 349503025 419403630 503284356 559204840 629105445 671045808 699006050 838807260 1006568712 1048509075 1118409680 1258210890 1398012100 1677614520 2013137424 2097018150 2516421780 2796024200 3145527225 3355229040 4194036300 5032843560 5592048400 6291054450 8388072600 10065687120 12582108900 16776145200 25164217800 50328435600