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57193002 = 23219891879
BaseRepresentation
bin1101101000101…
…1001000101010
310222121201001100
43122023020222
5104120134002
65401502230
71263063306
oct332131052
9128551040
1057193002
112a313a49
12171a1976
13bb06419
14784ad06
15504b11c
hex368b22a

57193002 has 48 divisors (see below), whose sum is σ = 131976000. Its totient is φ = 17848512.

The previous prime is 57192977. The next prime is 57193057. The reversal of 57193002 is 20039175.

57193002 is a `hidden beast` number, since 571 + 93 + 0 + 0 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29499 + ... + 31377.

It is an arithmetic number, because the mean of its divisors is an integer number (2749500).

Almost surely, 257193002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57193002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65988000).

57193002 is an abundant number, since it is smaller than the sum of its proper divisors (74782998).

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

57193002 is a wasteful number, since it uses less digits than its factorization.

57193002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 57193002 is about 7562.6055033963. The cubic root of 57193002 is about 385.2839912861.

The spelling of 57193002 in words is "fifty-seven million, one hundred ninety-three thousand, two".

Divisors: 1 2 3 6 9 18 19 38 57 89 114 171 178 267 342 534 801 1602 1691 1879 3382 3758 5073 5637 10146 11274 15219 16911 30438 33822 35701 71402 107103 167231 214206 321309 334462 501693 642618 1003386 1505079 3010158 3177389 6354778 9532167 19064334 28596501 57193002