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51215968 = 2517313037
BaseRepresentation
bin1100001101011…
…1111001100000
310120101001002201
43003113321200
5101102402333
65025422544
71161220456
oct303277140
9116331081
1051215968
1126a01351
121519aa54
13a7c2a0b
146b329d6
15476a17d
hex30d7e60

51215968 has 48 divisors (see below), whose sum is σ = 110242944. Its totient is φ = 23316480.

The previous prime is 51215933. The next prime is 51215977. The reversal of 51215968 is 86951215.

51215968 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 an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 15346 + ... + 18382.

It is an arithmetic number, because the mean of its divisors is an integer number (2296728).

Almost surely, 251215968 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 51215968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55121472).

51215968 is an abundant number, since it is smaller than the sum of its proper divisors (59026976).

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

51215968 is a wasteful number, since it uses less digits than its factorization.

51215968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3095 (or 3087 counting only the distinct ones).

The product of its digits is 21600, while the sum is 37.

The square root of 51215968 is about 7156.5332389363. The cubic root of 51215968 is about 371.3657052238.

The spelling of 51215968 in words is "fifty-one million, two hundred fifteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 17 31 32 34 62 68 124 136 248 272 496 527 544 992 1054 2108 3037 4216 6074 8432 12148 16864 24296 48592 51629 94147 97184 103258 188294 206516 376588 413032 753176 826064 1506352 1600499 1652128 3012704 3200998 6401996 12803992 25607984 51215968