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57054132 = 2234293601
BaseRepresentation
bin1101100110100…
…1001110110100
310222100122120000
43121221032310
5104101213012
65354511300
71261644402
oct331511664
9128318500
1057054132
112a229683
1217135530
13ba88155
147812472
15501eddc
hex36693b4

57054132 has 60 divisors (see below), whose sum is σ = 149908836. Its totient is φ = 18921600.

The previous prime is 57054097. The next prime is 57054133. The reversal of 57054132 is 23145075.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 51322896 + 5731236 = 7164^2 + 2394^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 57054096 and 57054105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57054133) 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, 94632 + ... + 95232.

Almost surely, 257054132 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 57054132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74954418).

57054132 is an abundant number, since it is smaller than the sum of its proper divisors (92854704).

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

57054132 is a wasteful number, since it uses less digits than its factorization.

57054132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 899 counting only the distinct ones).

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

The square root of 57054132 is about 7553.4185638028. The cubic root of 57054132 is about 384.9719032737.

The spelling of 57054132 in words is "fifty-seven million, fifty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 293 324 586 601 879 1172 1202 1758 1803 2404 2637 3516 3606 5274 5409 7212 7911 10548 10818 15822 16227 21636 23733 31644 32454 47466 48681 64908 94932 97362 176093 194724 352186 528279 704372 1056558 1584837 2113116 3169674 4754511 6339348 9509022 14263533 19018044 28527066 57054132