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38106864 = 2432264631
BaseRepresentation
bin1001000101011…
…1011011110000
32122201000210100
42101113123300
534223404424
63440432400
7641621505
oct221273360
978630710
1038106864
111a568284
1210918700
137b82c53
1450bd4ac
15352adc9
hex24576f0

38106864 has 30 divisors (see below), whose sum is σ = 106646696. Its totient is φ = 12702240.

The previous prime is 38106851. The next prime is 38106869. The reversal of 38106864 is 46860183.

It is a happy number.

38106864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38106869) 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 5 ways as a sum of consecutive naturals, for example, 132172 + ... + 132459.

Almost surely, 238106864 is an apocalyptic number.

It is an amenable number.

38106864 is an abundant number, since it is smaller than the sum of its proper divisors (68539832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38106864 is a wasteful number, since it uses less digits than its factorization.

38106864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264645 (or 264636 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 38106864 is about 6173.0757325664. The cubic root of 38106864 is about 336.5123984696.

The spelling of 38106864 in words is "thirty-eight million, one hundred six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 264631 529262 793893 1058524 1587786 2117048 2381679 3175572 4234096 4763358 6351144 9526716 12702288 19053432 38106864