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57435405 = 3531123517
BaseRepresentation
bin1101101100011…
…0010100001101
311000002000120020
43123012110031
5104200413110
65411012353
71265123106
oct333062415
9130060506
1057435405
112a46a085
121729a0b9
13bb8c861
1478b13ad
155097d70
hex36c650d

57435405 has 16 divisors (see below), whose sum is σ = 94861824. Its totient is φ = 29643840.

The previous prime is 57435403. The next prime is 57435407. The reversal of 57435405 is 50453475.

57435405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57435403) and next prime (57435407).

It is not a de Polignac number, because 57435405 - 21 = 57435403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57435403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61294 + ... + 62223.

It is an arithmetic number, because the mean of its divisors is an integer number (5928864).

Almost surely, 257435405 is an apocalyptic number.

It is an amenable number.

57435405 is a deficient number, since it is larger than the sum of its proper divisors (37426419).

57435405 is a wasteful number, since it uses less digits than its factorization.

57435405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123556.

The product of its (nonzero) digits is 42000, while the sum is 33.

The square root of 57435405 is about 7578.6149790051. The cubic root of 57435405 is about 385.8275447333.

The spelling of 57435405 in words is "fifty-seven million, four hundred thirty-five thousand, four hundred five".

Divisors: 1 3 5 15 31 93 155 465 123517 370551 617585 1852755 3829027 11487081 19145135 57435405