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57290112 = 2733112137
BaseRepresentation
bin1101101010001…
…0110110000000
310222210122021000
43122202312000
5104131240422
65403532000
71263646365
oct332426600
9128718230
1057290112
112a37aa00
121722a000
13bb3b699
14787446c
155069cac
hex36a2d80

57290112 has 192 divisors, whose sum is σ = 187210800. Its totient is φ = 17233920.

The previous prime is 57290083. The next prime is 57290117. The reversal of 57290112 is 21109275.

57290112 is a `hidden beast` number, since 572 + 90 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 (57290117) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 418108 + ... + 418244.

Almost surely, 257290112 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 57290112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93605400).

57290112 is an abundant number, since it is smaller than the sum of its proper divisors (129920688).

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

57290112 is a wasteful number, since it uses less digits than its factorization.

57290112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 57290112 is about 7569.0231866470. The cubic root of 57290112 is about 385.5019303754.

Adding to 57290112 its reverse (21109275), we get a palindrome (78399387).

The spelling of 57290112 in words is "fifty-seven million, two hundred ninety thousand, one hundred twelve".