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57193552 = 24131312099
BaseRepresentation
bin1101101000101…
…1010001010000
310222121201210201
43122023101100
5104120143202
65401504544
71263065023
oct332132120
9128551721
1057193552
112a3143a9
12171a2154
13bb06750
14784b1ba
15504b387
hex368b450

57193552 has 40 divisors (see below), whose sum is σ = 120304800. Its totient is φ = 26183040.

The previous prime is 57193547. The next prime is 57193579. The reversal of 57193552 is 25539175.

It is a happy number.

It is a super-2 number, since 2×571935522 = 6542204780753408, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26199 + ... + 28297.

It is an arithmetic number, because the mean of its divisors is an integer number (3007620).

Almost surely, 257193552 is an apocalyptic number.

57193552 is a gapful number since it is divisible by the number (52) 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 57193552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60152400).

57193552 is an abundant number, since it is smaller than the sum of its proper divisors (63111248).

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

57193552 is a wasteful number, since it uses less digits than its factorization.

57193552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251 (or 2245 counting only the distinct ones).

The product of its digits is 47250, while the sum is 37.

The square root of 57193552 is about 7562.6418664379. The cubic root of 57193552 is about 385.2852263178.

The spelling of 57193552 in words is "fifty-seven million, one hundred ninety-three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 104 131 208 262 524 1048 1703 2096 2099 3406 4198 6812 8396 13624 16792 27248 27287 33584 54574 109148 218296 274969 436592 549938 1099876 2199752 3574597 4399504 7149194 14298388 28596776 57193552