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42457941 = 323124909
BaseRepresentation
bin1010000111110…
…1101101010101
32221220002100100
42201331231111
541332123231
64114004313
71023613041
oct241755525
987802310
1042457941
1121a6a309
1212276699
138a47556
1458d3021
153ada1e6
hex287db55

42457941 has 18 divisors (see below), whose sum is σ = 63383190. Its totient is φ = 27386640.

The previous prime is 42457927. The next prime is 42457957. The reversal of 42457941 is 14975424.

It is a happy number.

42457941 is a `hidden beast` number, since 42 + 4 + 579 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42380100 + 77841 = 6510^2 + 279^2 .

It is not a de Polignac number, because 42457941 - 222 = 38263637 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 42457896 and 42457905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42457901) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6195 + ... + 11103.

Almost surely, 242457941 is an apocalyptic number.

It is an amenable number.

42457941 is a deficient number, since it is larger than the sum of its proper divisors (20925249).

42457941 is a wasteful number, since it uses less digits than its factorization.

42457941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4977 (or 4943 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 42457941 is about 6515.9758286844. The cubic root of 42457941 is about 348.8614458643.

The spelling of 42457941 in words is "forty-two million, four hundred fifty-seven thousand, nine hundred forty-one".

Divisors: 1 3 9 31 93 279 961 2883 4909 8649 14727 44181 152179 456537 1369611 4717549 14152647 42457941