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51372960 = 25351943131
BaseRepresentation
bin1100001111111…
…0001110100000
310120200000110020
43003332032200
5101122413320
65033033440
71162443252
oct303761640
9116600406
1051372960
1126aa92a1
1215255880
13a849302
146b73cd2
15479b940
hex30fe3a0

51372960 has 192 divisors, whose sum is σ = 175633920. Its totient is φ = 12579840.

The previous prime is 51372931. The next prime is 51372967. The reversal of 51372960 is 6927315.

51372960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51372967) 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 31 ways as a sum of consecutive naturals, for example, 392095 + ... + 392225.

It is an arithmetic number, because the mean of its divisors is an integer number (914760).

Almost surely, 251372960 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 51372960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87816960).

51372960 is an abundant number, since it is smaller than the sum of its proper divisors (124260960).

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

51372960 is a wasteful number, since it uses less digits than its factorization.

51372960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 51372960 is about 7167.4932856613. The cubic root of 51372960 is about 371.7447665332.

The spelling of 51372960 in words is "fifty-one million, three hundred seventy-two thousand, nine hundred sixty".