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51117696 = 273372113
BaseRepresentation
bin1100001011111…
…1111010000000
310120012001022000
43002333322000
5101041231241
65023344000
71160331120
oct302777200
9116161260
1051117696
1126944533
1215152000
13a78a076
146b08c80
15474aeb6
hex30bfe80

51117696 has 128 divisors (see below), whose sum is σ = 172502400. Its totient is φ = 14598144.

The previous prime is 51117679. The next prime is 51117701. The reversal of 51117696 is 69671115.

It is a happy number.

51117696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×511176962 = 5226037688696832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 51117696.

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 15 ways as a sum of consecutive naturals, for example, 23136 + ... + 25248.

It is an arithmetic number, because the mean of its divisors is an integer number (1347675).

Almost surely, 251117696 is an apocalyptic number.

51117696 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 51117696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86251200).

51117696 is an abundant number, since it is smaller than the sum of its proper divisors (121384704).

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

51117696 is a wasteful number, since it uses less digits than its factorization.

51117696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143 (or 2125 counting only the distinct ones).

The product of its digits is 11340, while the sum is 36.

The square root of 51117696 is about 7149.6640480515. The cubic root of 51117696 is about 371.1280305379.

The spelling of 51117696 in words is "fifty-one million, one hundred seventeen thousand, six hundred ninety-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 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2113 2688 3024 3456 4032 4226 6048 6339 8064 8452 12096 12678 14791 16904 19017 24192 25356 29582 33808 38034 44373 50712 57051 59164 67616 76068 88746 101424 114102 118328 133119 135232 152136 177492 202848 228204 236656 266238 270464 304272 354984 399357 405696 456408 473312 532476 608544 709968 798714 811392 912816 946624 1064952 1217088 1419936 1597428 1825632 1893248 2129904 2434176 2839872 3194856 3651264 4259808 5679744 6389712 7302528 8519616 12779424 17039232 25558848 51117696