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53936688 = 24313261109
BaseRepresentation
bin1100110111000…
…0001000110000
310202111021020010
43031300020300
5102301433223
65204014520
71223311551
oct315601060
9122437203
1053936688
112849a483
1216091440
13b236200
147240328
154b06393
hex3370230

53936688 has 120 divisors (see below), whose sum is σ = 154759440. Its totient is φ = 16174080.

The previous prime is 53936647. The next prime is 53936693. The reversal of 53936688 is 88663935.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 494778 + ... + 494886.

It is an arithmetic number, because the mean of its divisors is an integer number (1289662).

Almost surely, 253936688 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 53936688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77379720).

53936688 is an abundant number, since it is smaller than the sum of its proper divisors (100822752).

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

53936688 is a wasteful number, since it uses less digits than its factorization.

53936688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 188 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 53936688 is about 7344.1601289732. The cubic root of 53936688 is about 377.8285384566.

The spelling of 53936688 in words is "fifty-three million, nine hundred thirty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 61 78 104 109 122 156 169 183 208 218 244 312 327 338 366 436 488 507 624 654 676 732 793 872 976 1014 1308 1352 1417 1464 1586 1744 2028 2379 2616 2704 2834 2928 3172 4056 4251 4758 5232 5668 6344 6649 8112 8502 9516 10309 11336 12688 13298 17004 18421 19032 19947 20618 22672 26596 30927 34008 36842 38064 39894 41236 53192 55263 61854 68016 73684 79788 82472 86437 106384 110526 123708 147368 159576 164944 172874 221052 247416 259311 294736 319152 345748 442104 494832 518622 691496 884208 1037244 1123681 1382992 2074488 2247362 3371043 4148976 4494724 6742086 8989448 13484172 17978896 26968344 53936688