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57313536 = 283721523
BaseRepresentation
bin1101101010100…
…0100100000000
310222211211101120
43122220210000
5104133013121
65404232240
71264104600
oct332504400
9128754346
1057313536
112a396565
121723b680
13bb49247
14787cc00
155071bc6
hex36a8900

57313536 has 108 divisors (see below), whose sum is σ = 177558192. Its totient is φ = 16364544.

The previous prime is 57313507. The next prime is 57313537. The reversal of 57313536 is 63531375.

It is a junction number, because it is equal to n+sod(n) for n = 57313497 and 57313506.

It is not an unprimeable number, because it can be changed into a prime (57313537) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36871 + ... + 38393.

Almost surely, 257313536 is an apocalyptic number.

57313536 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 57313536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88779096).

57313536 is an abundant number, since it is smaller than the sum of its proper divisors (120244656).

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

57313536 is a wasteful number, since it uses less digits than its factorization.

57313536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1535 counting only the distinct ones).

The product of its digits is 28350, while the sum is 33.

The square root of 57313536 is about 7570.5703880223. The cubic root of 57313536 is about 385.5544628078.

The spelling of 57313536 in words is "fifty-seven million, three hundred thirteen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 588 672 768 784 896 1176 1344 1523 1568 1792 2352 2688 3046 3136 4569 4704 5376 6092 6272 9138 9408 10661 12184 12544 18276 18816 21322 24368 31983 36552 37632 42644 48736 63966 73104 74627 85288 97472 127932 146208 149254 170576 194944 223881 255864 292416 298508 341152 389888 447762 511728 584832 597016 682304 895524 1023456 1169664 1194032 1364608 1791048 2046912 2388064 2729216 3582096 4093824 4776128 7164192 8187648 9552256 14328384 19104512 28656768 57313536