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51063696 = 243431241
BaseRepresentation
bin1100001011001…
…0101110010000
310120002022020000
43002302232100
5101033014241
65022250000
71160014515
oct302625620
9116068200
1051063696
1126907a02
1215126900
13a76b608
146ad330c
154739eb6
hex30b2b90

51063696 has 150 divisors (see below), whose sum is σ = 156439206. Its totient is φ = 16070400.

The previous prime is 51063647. The next prime is 51063713. The reversal of 51063696 is 69636015.

51063696 is a `hidden beast` number, since 5 + 10 + 636 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31136400 + 19927296 = 5580^2 + 4464^2 .

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 51063696.

It is a congruent number.

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 29 ways as a sum of consecutive naturals, for example, 1245436 + ... + 1245476.

Almost surely, 251063696 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 51063696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78219603).

51063696 is an abundant number, since it is smaller than the sum of its proper divisors (105375510).

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

51063696 is a wasteful number, since it uses less digits than its factorization.

51063696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 51063696 is about 7145.8866489751. The cubic root of 51063696 is about 370.9972997190.

The spelling of 51063696 in words is "fifty-one million, sixty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 41 48 54 62 72 81 82 93 108 123 124 144 162 164 186 216 246 248 279 324 328 369 372 432 492 496 558 648 656 738 744 837 961 984 1107 1116 1271 1296 1476 1488 1674 1922 1968 2214 2232 2511 2542 2883 2952 3321 3348 3813 3844 4428 4464 5022 5084 5766 5904 6642 6696 7626 7688 8649 8856 10044 10168 11439 11532 13284 13392 15252 15376 17298 17712 20088 20336 22878 23064 25947 26568 30504 34317 34596 39401 40176 45756 46128 51894 53136 61008 68634 69192 77841 78802 91512 102951 103788 118203 137268 138384 155682 157604 183024 205902 207576 236406 274536 311364 315208 354609 411804 415152 472812 549072 622728 630416 709218 823608 945624 1063827 1245456 1418436 1647216 1891248 2127654 2836872 3191481 4255308 5673744 6382962 8510616 12765924 17021232 25531848 51063696