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53357696 = 2771731113
BaseRepresentation
bin1100101110001…
…0110010000000
310201101211222222
43023202302000
5102124421241
65143350212
71215350540
oct313426200
9121354888
1053357696
1128134477
1215a52368
13b092802
14712d320
154a3ea4b
hex32e2c80

53357696 has 128 divisors (see below), whose sum is σ = 133954560. Its totient is φ = 20643840.

The previous prime is 53357683. The next prime is 53357743. The reversal of 53357696 is 69675335.

53357696 = T160 + T161 + ... + T686.

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

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, 472136 + ... + 472248.

It is an arithmetic number, because the mean of its divisors is an integer number (1046520).

Almost surely, 253357696 is an apocalyptic number.

53357696 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 53357696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66977280).

53357696 is an abundant number, since it is smaller than the sum of its proper divisors (80596864).

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

53357696 is a wasteful number, since it uses less digits than its factorization.

53357696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 170 counting only the distinct ones).

The product of its digits is 510300, while the sum is 44.

The square root of 53357696 is about 7304.6352407222. The cubic root of 53357696 is about 376.4717181951.

It can be divided in two parts, 5335 and 7696, that added together give a palindrome (13031).

The spelling of 53357696 in words is "fifty-three million, three hundred fifty-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 31 32 34 56 62 64 68 112 113 119 124 128 136 217 224 226 238 248 272 434 448 452 476 496 527 544 791 868 896 904 952 992 1054 1088 1582 1736 1808 1904 1921 1984 2108 2176 3164 3472 3503 3616 3689 3808 3842 3968 4216 6328 6944 7006 7232 7378 7616 7684 8432 12656 13447 13888 14012 14464 14756 15232 15368 16864 24521 25312 26894 27776 28024 29512 30736 33728 49042 50624 53788 56048 59024 59551 61472 67456 98084 101248 107576 112096 118048 119102 122944 196168 215152 224192 236096 238204 245888 392336 416857 430304 448384 472192 476408 784672 833714 860608 952816 1569344 1667428 1721216 1905632 3138688 3334856 3811264 6669712 7622528 13339424 26678848 53357696