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57456607 = 1347271347
BaseRepresentation
bin1101101100101…
…1011111011111
311000010002122111
43123023133133
5104202102412
65411254451
71265241655
oct333133737
9130102574
1057456607
112a483aaa
12172aa427
13bb993c0
1478b8dd5
15509e2a7
hex36cb7df

57456607 has 16 divisors (see below), whose sum is σ = 63608832. Its totient is φ = 51567840.

The previous prime is 57456601. The next prime is 57456629. The reversal of 57456607 is 70665475.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 57456607 - 219 = 56932319 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 57456607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57456601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165408 + ... + 165754.

It is an arithmetic number, because the mean of its divisors is an integer number (3975552).

Almost surely, 257456607 is an apocalyptic number.

57456607 is a deficient number, since it is larger than the sum of its proper divisors (6152225).

57456607 is a wasteful number, since it uses less digits than its factorization.

57456607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678.

The product of its (nonzero) digits is 176400, while the sum is 40.

The square root of 57456607 is about 7580.0136543413. The cubic root of 57456607 is about 385.8750143457.

The spelling of 57456607 in words is "fifty-seven million, four hundred fifty-six thousand, six hundred seven".

Divisors: 1 13 47 271 347 611 3523 4511 12737 16309 94037 165581 212017 1222481 4419739 57456607