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57409590 = 23571671637
BaseRepresentation
bin1101101100000…
…0000000110110
311000000201011010
43123000000312
5104144101330
65410253050
71264654620
oct333000066
9130021133
1057409590
112a451747
1217287186
13bb80b94
1478a5c10
1550903b0
hex36c0036

57409590 has 64 divisors (see below), whose sum is σ = 158505984. Its totient is φ = 13035648.

The previous prime is 57409579. The next prime is 57409619. The reversal of 57409590 is 9590475.

It is a super-2 number, since 2×574095902 = 6591722047936200, which contains 22 as substring.

It is a Curzon number.

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34252 + ... + 35888.

It is an arithmetic number, because the mean of its divisors is an integer number (2476656).

Almost surely, 257409590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57409590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79252992).

57409590 is an abundant number, since it is smaller than the sum of its proper divisors (101096394).

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

57409590 is a wasteful number, since it uses less digits than its factorization.

57409590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821.

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 57409590 is about 7576.9116399757. The cubic root of 57409590 is about 385.7697312025.

The spelling of 57409590 in words is "fifty-seven million, four hundred nine thousand, five hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 167 210 334 501 835 1002 1169 1637 1670 2338 2505 3274 3507 4911 5010 5845 7014 8185 9822 11459 11690 16370 17535 22918 24555 34377 35070 49110 57295 68754 114590 171885 273379 343770 546758 820137 1366895 1640274 1913653 2733790 3827306 4100685 5740959 8201370 9568265 11481918 19136530 28704795 57409590