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57045312 = 2632971021
BaseRepresentation
bin1101100110011…
…1000101000000
310222100012110100
43121213011000
5104100422222
65354402400
71261606602
oct331470500
9128305410
1057045312
112a222a95
1217130400
13ba8412c
14780d172
15501c4ac
hex3667140

57045312 has 84 divisors (see below), whose sum is σ = 165357556. Its totient is φ = 18800640.

The previous prime is 57045299. The next prime is 57045323. The reversal of 57045312 is 21354075.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 29419776 + 27625536 = 5424^2 + 5256^2 .

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 11 ways as a sum of consecutive naturals, for example, 55362 + ... + 56382.

Almost surely, 257045312 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 57045312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82678778).

57045312 is an abundant number, since it is smaller than the sum of its proper divisors (108312244).

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

57045312 is a wasteful number, since it uses less digits than its factorization.

57045312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1123 counting only the distinct ones).

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

The square root of 57045312 is about 7552.8346996343. The cubic root of 57045312 is about 384.9520646453.

Adding to 57045312 its reverse (21354075), we get a palindrome (78399387).

The spelling of 57045312 in words is "fifty-seven million, forty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 144 192 194 288 291 388 576 582 776 873 1021 1164 1552 1746 2042 2328 3063 3104 3492 4084 4656 6126 6208 6984 8168 9189 9312 12252 13968 16336 18378 18624 24504 27936 32672 36756 49008 55872 65344 73512 98016 99037 147024 196032 198074 294048 297111 396148 588096 594222 792296 891333 1188444 1584592 1782666 2376888 3169184 3565332 4753776 6338368 7130664 9507552 14261328 19015104 28522656 57045312