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57112452 = 22341710369
BaseRepresentation
bin1101100111011…
…1011110000100
310222110121120000
43121313132010
5104110044302
65400041300
71262306415
oct331673604
9128417500
1057112452
112a269481
1217163230
13baa8867
14782980c
15503231c
hex3677784

57112452 has 60 divisors (see below), whose sum is σ = 158101020. Its totient is φ = 17915904.

The previous prime is 57112417. The next prime is 57112453. The reversal of 57112452 is 25421175.

It can be written as a sum of positive squares in 2 ways, for example, as 21399876 + 35712576 = 4626^2 + 5976^2 .

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 (57112453) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 324 + ... + 10692.

It is an arithmetic number, because the mean of its divisors is an integer number (2635017).

Almost surely, 257112452 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 57112452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79050510).

57112452 is an abundant number, since it is smaller than the sum of its proper divisors (100988568).

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

57112452 is a wasteful number, since it uses less digits than its factorization.

57112452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10402 (or 10391 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 57112452 is about 7557.2780814259. The cubic root of 57112452 is about 385.1030297148.

The spelling of 57112452 in words is "fifty-seven million, one hundred twelve thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1377 1836 2754 5508 10369 20738 31107 41476 62214 93321 124428 176273 186642 279963 352546 373284 528819 559926 705092 839889 1057638 1119852 1586457 1679778 2115276 3172914 3359556 4759371 6345828 9518742 14278113 19037484 28556226 57112452