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51925120 = 27513792
BaseRepresentation
bin1100011000010…
…1000010000000
310121201001212121
43012011002000
5101243100440
65052534024
71200233122
oct306050200
9117631777
1051925120
1127346125
1215481314
13a9b0730
146c79212
15485a34a
hex3185080

51925120 has 96 divisors (see below), whose sum is σ = 135395820. Its totient is φ = 18929664.

The previous prime is 51925103. The next prime is 51925121. The reversal of 51925120 is 2152915.

It can be written as a sum of positive squares in 2 ways, for example, as 48330304 + 3594816 = 6952^2 + 1896^2 .

It is not an unprimeable number, because it can be changed into a prime (51925121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 657241 + ... + 657319.

Almost surely, 251925120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67697910).

51925120 is an abundant number, since it is smaller than the sum of its proper divisors (83470700).

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

51925120 is an equidigital number, since it uses as much as digits as its factorization.

51925120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 51925120 is about 7205.9086866266. The cubic root of 51925120 is about 373.0718690803.

The spelling of 51925120 in words is "fifty-one million, nine hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 79 80 104 128 130 158 160 208 260 316 320 395 416 520 632 640 790 832 1027 1040 1264 1580 1664 2054 2080 2528 3160 4108 4160 5056 5135 6241 6320 8216 8320 10112 10270 12482 12640 16432 20540 24964 25280 31205 32864 41080 49928 50560 62410 65728 81133 82160 99856 124820 131456 162266 164320 199712 249640 324532 328640 399424 405665 499280 649064 657280 798848 811330 998560 1298128 1622660 1997120 2596256 3245320 3994240 5192512 6490640 10385024 12981280 25962560 51925120