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50012400 = 2435271587
BaseRepresentation
bin1011111011001…
…0000011110000
310111002220010010
42332302003300
5100300344100
64543534520
71145045514
oct276620360
9114086103
1050012400
112625a069
12148ba440
13a490c49
1468dc144
1545cd750
hex2fb20f0

50012400 has 120 divisors (see below), whose sum is σ = 162739584. Its totient is φ = 13126400.

The previous prime is 50012399. The next prime is 50012407. The reversal of 50012400 is 421005.

50012400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50012407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84907 + ... + 85493.

Almost surely, 250012400 is an apocalyptic number.

50012400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81369792).

50012400 is an abundant number, since it is smaller than the sum of its proper divisors (112727184).

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

50012400 is a wasteful number, since it uses less digits than its factorization.

50012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 50012400 is about 7071.9445699185. The cubic root of 50012400 is about 368.4336020072.

Adding to 50012400 its reverse (421005), we get a palindrome (50433405).

The spelling of 50012400 in words is "fifty million, twelve thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 71 75 80 100 120 142 150 200 213 240 284 300 355 400 426 568 587 600 710 852 1065 1136 1174 1200 1420 1704 1761 1775 2130 2348 2840 2935 3408 3522 3550 4260 4696 5325 5680 5870 7044 7100 8520 8805 9392 10650 11740 14088 14200 14675 17040 17610 21300 23480 28176 28400 29350 35220 41677 42600 44025 46960 58700 70440 83354 85200 88050 117400 125031 140880 166708 176100 208385 234800 250062 333416 352200 416770 500124 625155 666832 704400 833540 1000248 1041925 1250310 1667080 2000496 2083850 2500620 3125775 3334160 4167700 5001240 6251550 8335400 10002480 12503100 16670800 25006200 50012400