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38831967 = 344311149
BaseRepresentation
bin1001010000100…
…0011101011111
32201001212110000
42110020131133
534420110332
63504145343
7651031506
oct224103537
981055400
1038831967
111aa13039
1211008253
138077cc5
14522b83d
153620b7c
hex250875f

38831967 has 20 divisors (see below), whose sum is σ = 59362600. Its totient is φ = 25283664.

The previous prime is 38831869. The next prime is 38831977. The reversal of 38831967 is 76913883.

It is a happy number.

38831967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38831967 - 214 = 38815583 is a prime.

It is a super-2 number, since 2×388319672 = 3015843322178178, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38831977) 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 19 ways as a sum of consecutive naturals, for example, 2092 + ... + 9057.

It is an arithmetic number, because the mean of its divisors is an integer number (2968130).

Almost surely, 238831967 is an apocalyptic number.

38831967 is a deficient number, since it is larger than the sum of its proper divisors (20530633).

38831967 is a wasteful number, since it uses less digits than its factorization.

38831967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11204 (or 11195 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 38831967 is about 6231.5300689317. The cubic root of 38831967 is about 338.6334043160.

The spelling of 38831967 in words is "thirty-eight million, eight hundred thirty-one thousand, nine hundred sixty-seven".

Divisors: 1 3 9 27 43 81 129 387 1161 3483 11149 33447 100341 301023 479407 903069 1438221 4314663 12943989 38831967