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57174012 = 223672801
BaseRepresentation
bin1101101000011…
…0011111111100
310222120202000000
43122012133330
5104114032022
65401234300
71262654040
oct332063774
9128522000
1057174012
112a300755
1217192990
13baca89c
147844020
1550456ac
hex36867fc

57174012 has 84 divisors (see below), whose sum is σ = 171504816. Its totient is φ = 16329600.

The previous prime is 57174001. The next prime is 57174017. The reversal of 57174012 is 21047175.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×571740122 = 6537735296352288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57174017) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 19012 + ... + 21812.

It is an arithmetic number, because the mean of its divisors is an integer number (2041724).

Almost surely, 257174012 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 57174012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85752408).

57174012 is an abundant number, since it is smaller than the sum of its proper divisors (114330804).

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

57174012 is a wasteful number, since it uses less digits than its factorization.

57174012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2830 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 57174012 is about 7561.3498794858. The cubic root of 57174012 is about 385.2413441517.

The spelling of 57174012 in words is "fifty-seven million, one hundred seventy-four thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 729 756 972 1134 1458 1701 2268 2801 2916 3402 5103 5602 6804 8403 10206 11204 16806 19607 20412 25209 33612 39214 50418 58821 75627 78428 100836 117642 151254 176463 226881 235284 302508 352926 453762 529389 680643 705852 907524 1058778 1361286 1588167 2041929 2117556 2722572 3176334 4083858 4764501 6352668 8167716 9529002 14293503 19058004 28587006 57174012