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57106435 = 5107173617
BaseRepresentation
bin1101100111011…
…0000000000011
310222110022022011
43121312000003
5104104401220
65355553351
71262253031
oct331660003
9128408264
1057106435
112a264a01
121715b857
13baa5bb9
147827551
15503065a
hex3676003

57106435 has 16 divisors (see below), whose sum is σ = 69680736. Its totient is φ = 44923648.

The previous prime is 57106411. The next prime is 57106453. The reversal of 57106435 is 53460175.

It is a cyclic number.

It is not a de Polignac number, because 57106435 - 25 = 57106403 is a prime.

It is a super-2 number, since 2×571064352 = 6522289836818450, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 57106397 and 57106406.

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 15 ways as a sum of consecutive naturals, for example, 92247 + ... + 92863.

It is an arithmetic number, because the mean of its divisors is an integer number (4355046).

Almost surely, 257106435 is an apocalyptic number.

57106435 is a deficient number, since it is larger than the sum of its proper divisors (12574301).

57106435 is a wasteful number, since it uses less digits than its factorization.

57106435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902.

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 57106435 is about 7556.8799778745. The cubic root of 57106435 is about 385.0895052485.

The spelling of 57106435 in words is "fifty-seven million, one hundred six thousand, four hundred thirty-five".

Divisors: 1 5 107 173 535 617 865 3085 18511 66019 92555 106741 330095 533705 11421287 57106435