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38957711 = 132613779
BaseRepresentation
bin1001010010011…
…1001010001111
32201022020221012
42110213022033
534433121321
63510555435
7652064222
oct224471217
981266835
1038957711
111aa99561
1211068b7b
1380c0300
1452615b9
15364805b
hex252728f

38957711 has 12 divisors (see below), whose sum is σ = 42887880. Its totient is φ = 35362080.

The previous prime is 38957671. The next prime is 38957713. The reversal of 38957711 is 11775983.

38957711 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-38957711 is a prime.

It is a super-3 number, since 3×389577113 (a number of 24 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38957713) 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 11 ways as a sum of consecutive naturals, for example, 8420 + ... + 12198.

It is an arithmetic number, because the mean of its divisors is an integer number (3573990).

Almost surely, 238957711 is an apocalyptic number.

38957711 is a deficient number, since it is larger than the sum of its proper divisors (3930169).

38957711 is a wasteful number, since it uses less digits than its factorization.

38957711 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3866 (or 3853 counting only the distinct ones).

The product of its digits is 52920, while the sum is 41.

The square root of 38957711 is about 6241.6112503103. The cubic root of 38957711 is about 338.9985265176.

The spelling of 38957711 in words is "thirty-eight million, nine hundred fifty-seven thousand, seven hundred eleven".

Divisors: 1 13 61 169 793 3779 10309 49127 230519 638651 2996747 38957711