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57212352 = 2633113293
BaseRepresentation
bin1101101000111…
…1110111000000
310222122200121000
43122033313000
5104121243402
65402132000
71263203601
oct332176700
9128580530
1057212352
112a32753a
12171b1000
13bb12182
147853da8
155051c1c
hex368fdc0

57212352 has 112 divisors (see below), whose sum is σ = 170261280. Its totient is φ = 18837504.

The previous prime is 57212347. The next prime is 57212377. The reversal of 57212352 is 25321275.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195118 + ... + 195410.

It is an arithmetic number, because the mean of its divisors is an integer number (1520190).

Almost surely, 257212352 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 57212352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85130640).

57212352 is an abundant number, since it is smaller than the sum of its proper divisors (113048928).

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

57212352 is a wasteful number, since it uses less digits than its factorization.

57212352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 411 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 57212352 is about 7563.8847162024. The cubic root of 57212352 is about 385.3274371877.

The spelling of 57212352 in words is "fifty-seven million, two hundred twelve thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 113 144 192 216 226 288 293 339 432 452 576 586 678 864 879 904 1017 1172 1356 1728 1758 1808 2034 2344 2637 2712 3051 3516 3616 4068 4688 5274 5424 6102 7032 7232 7911 8136 9376 10548 10848 12204 14064 15822 16272 18752 21096 21696 24408 28128 31644 32544 33109 42192 48816 56256 63288 65088 66218 84384 97632 99327 126576 132436 168768 195264 198654 253152 264872 297981 397308 506304 529744 595962 794616 893943 1059488 1191924 1589232 1787886 2118976 2383848 3178464 3575772 4767696 6356928 7151544 9535392 14303088 19070784 28606176 57212352