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57990528 = 273271709
BaseRepresentation
bin1101110100110…
…1110110000000
311001010020001100
43131031312000
5104321144103
65430534400
71302624411
oct335156600
9131106040
1057990528
112a809162
1217507400
13c02542b
1479b7808
1551575a3
hex374dd80

57990528 has 96 divisors (see below), whose sum is σ = 169462800. Its totient is φ = 19031040.

The previous prime is 57990511. The next prime is 57990529. The reversal of 57990528 is 82509975.

It is a happy number.

57990528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57990529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81438 + ... + 82146.

Almost surely, 257990528 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 57990528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84731400).

57990528 is an abundant number, since it is smaller than the sum of its proper divisors (111472272).

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

57990528 is a wasteful number, since it uses less digits than its factorization.

57990528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 57990528 is about 7615.1512132065. The cubic root of 57990528 is about 387.0665911090.

The spelling of 57990528 in words is "fifty-seven million, nine hundred ninety thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 128 142 144 192 213 284 288 384 426 568 576 639 709 852 1136 1152 1278 1418 1704 2127 2272 2556 2836 3408 4254 4544 5112 5672 6381 6816 8508 9088 10224 11344 12762 13632 17016 20448 22688 25524 27264 34032 40896 45376 50339 51048 68064 81792 90752 100678 102096 136128 151017 201356 204192 272256 302034 402712 408384 453051 604068 805424 816768 906102 1208136 1610848 1812204 2416272 3221696 3624408 4832544 6443392 7248816 9665088 14497632 19330176 28995264 57990528