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51994656 = 253378597
BaseRepresentation
bin1100011001011…
…0000000100000
310121211121021000
43012112000200
5101302312111
65054232000
71200642630
oct306260040
9117747230
1051994656
112739339a
12154b5600
13aa0628c
146c966c0
154870c56
hex3196020

51994656 has 96 divisors (see below), whose sum is σ = 173335680. Its totient is φ = 14853888.

The previous prime is 51994639. The next prime is 51994661. The reversal of 51994656 is 65649915.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1750 + ... + 10346.

It is an arithmetic number, because the mean of its divisors is an integer number (1805580).

Almost surely, 251994656 is an apocalyptic number.

51994656 is a gapful number since it is divisible by the number (56) 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 51994656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86667840).

51994656 is an abundant number, since it is smaller than the sum of its proper divisors (121341024).

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

51994656 is a wasteful number, since it uses less digits than its factorization.

51994656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8623 (or 8609 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 51994656 is about 7210.7320016764. The cubic root of 51994656 is about 373.2383290003.

It can be divided in two parts, 51994 and 656, that added together give a triangular number (52650 = T324).

The spelling of 51994656 in words is "fifty-one million, nine hundred ninety-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 8597 17194 25791 34388 51582 60179 68776 77373 103164 120358 137552 154746 180537 206328 232119 240716 275104 309492 361074 412656 464238 481432 541611 618984 722148 825312 928476 962864 1083222 1237968 1444296 1624833 1856952 1925728 2166444 2475936 2888592 3249666 3713904 4332888 5777184 6499332 7427808 8665776 12998664 17331552 25997328 51994656