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51368512 = 2613292129
BaseRepresentation
bin1100001111110…
…1001001000000
310120122210100111
43003331021000
5101122243022
65033001104
71162424266
oct303751100
9116583314
1051368512
1126aa5a18
1215253194
13a847290
146b72436
15479a477
hex30fd240

51368512 has 56 divisors (see below), whose sum is σ = 113614200. Its totient is φ = 22880256.

The previous prime is 51368507. The next prime is 51368549. The reversal of 51368512 is 21586315.

It can be written as a sum of positive squares in 4 ways, for example, as 331776 + 51036736 = 576^2 + 7144^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23064 + ... + 25192.

It is an arithmetic number, because the mean of its divisors is an integer number (2028825).

Almost surely, 251368512 is an apocalyptic number.

51368512 is a gapful number since it is divisible by the number (52) 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 51368512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56807100).

51368512 is an abundant number, since it is smaller than the sum of its proper divisors (62245688).

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

51368512 is a wasteful number, since it uses less digits than its factorization.

51368512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183 (or 2173 counting only the distinct ones).

The product of its digits is 7200, while the sum is 31.

The square root of 51368512 is about 7167.1829891527. The cubic root of 51368512 is about 371.7340373581.

The spelling of 51368512 in words is "fifty-one million, three hundred sixty-eight thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 208 232 377 416 464 754 832 928 1508 1856 2129 3016 4258 6032 8516 12064 17032 24128 27677 34064 55354 61741 68128 110708 123482 136256 221416 246964 442832 493928 802633 885664 987856 1605266 1771328 1975712 3210532 3951424 6421064 12842128 25684256 51368512