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57634420 = 22517179947
BaseRepresentation
bin1101101111011…
…0111001110100
311000110010120011
43123312321310
5104223300140
65415150004
71266612244
oct333667164
9130403504
1057634420
112a595658
1217375304
13bc2c30c
147923b24
1550d6cea
hex36f6e74

57634420 has 48 divisors (see below), whose sum is σ = 129003840. Its totient is φ = 21553664.

The previous prime is 57634411. The next prime is 57634459. The reversal of 57634420 is 2443675.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60387 + ... + 61333.

It is an arithmetic number, because the mean of its divisors is an integer number (2687580).

Almost surely, 257634420 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 57634420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64501920).

57634420 is an abundant number, since it is smaller than the sum of its proper divisors (71369420).

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

57634420 is a wasteful number, since it uses less digits than its factorization.

57634420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 57634420 is about 7591.7336623462. The cubic root of 57634420 is about 386.2726647851.

The spelling of 57634420 in words is "fifty-seven million, six hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 179 340 358 716 895 947 1790 1894 3043 3580 3788 4735 6086 9470 12172 15215 16099 18940 30430 32198 60860 64396 80495 160990 169513 321980 339026 678052 847565 1695130 2881721 3390260 5763442 11526884 14408605 28817210 57634420