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57834112 = 27729221
BaseRepresentation
bin1101110010011…
…1101010000000
311000211021111011
43130213222000
5104301142422
65423330304
71301403400
oct334475200
9130737434
1057834112
112a711696
1217450994
13bc9c18b
147976800
155126077
hex3727a80

57834112 has 48 divisors (see below), whose sum is σ = 134041770. Its totient is φ = 24783360.

The previous prime is 57834109. The next prime is 57834131. The reversal of 57834112 is 21143875.

It can be written as a sum of positive squares in only one way, i.e., 37258816 + 20575296 = 6104^2 + 4536^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1662 + ... + 10882.

Almost surely, 257834112 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 57834112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67020885).

57834112 is an abundant number, since it is smaller than the sum of its proper divisors (76207658).

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

57834112 is an equidigital number, since it uses as much as digits as its factorization.

57834112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9249 (or 9230 counting only the distinct ones).

The product of its digits is 6720, while the sum is 31.

The square root of 57834112 is about 7604.8742264419. The cubic root of 57834112 is about 386.7182702960.

Adding to 57834112 its reverse (21143875), we get a palindrome (78977987).

The spelling of 57834112 in words is "fifty-seven million, eight hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 6272 9221 18442 36884 64547 73768 129094 147536 258188 295072 451829 516376 590144 903658 1032752 1180288 1807316 2065504 3614632 4131008 7229264 8262016 14458528 28917056 57834112