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57491616 = 2537136581
BaseRepresentation
bin1101101101010…
…0000010100000
311000011212200010
43123110002200
5104204212431
65412124520
71265446020
oct333240240
9130155603
1057491616
112a4a8336
1217306740
13bbac310
1478c7a80
1550a9846
hex36d40a0

57491616 has 96 divisors (see below), whose sum is σ = 185770368. Its totient is φ = 15160320.

The previous prime is 57491563. The next prime is 57491617. The reversal of 57491616 is 61619475.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (57491617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5446 + ... + 12026.

It is an arithmetic number, because the mean of its divisors is an integer number (1935108).

Almost surely, 257491616 is an apocalyptic number.

57491616 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 57491616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92885184).

57491616 is an abundant number, since it is smaller than the sum of its proper divisors (128278752).

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

57491616 is a wasteful number, since it uses less digits than its factorization.

57491616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6614 (or 6606 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 57491616 is about 7582.3225993095. The cubic root of 57491616 is about 385.9533711919.

The spelling of 57491616 in words is "fifty-seven million, four hundred ninety-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 6581 8736 13162 19743 26324 39486 46067 52648 78972 85553 92134 105296 138201 157944 171106 184268 210592 256659 276402 315888 342212 368536 513318 552804 598871 631776 684424 737072 1026636 1105608 1197742 1368848 1474144 1796613 2053272 2211216 2395484 2737696 3593226 4106544 4422432 4790968 7186452 8213088 9581936 14372904 19163872 28745808 57491616