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38862864 = 2432733697
BaseRepresentation
bin1001010001000…
…0000000010000
32201010102211100
42110100000100
534422102424
63504544400
7651220545
oct224200020
981112740
1038862864
111aa34277
1211022100
1380890a1
145238bcc
153629dc9
hex2510010

38862864 has 60 divisors (see below), whose sum is σ = 110281756. Its totient is φ = 12773376.

The previous prime is 38862797. The next prime is 38862907. The reversal of 38862864 is 46826883.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11614464 + 27248400 = 3408^2 + 5220^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8664 + ... + 12360.

Almost surely, 238862864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38862864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55140878).

38862864 is an abundant number, since it is smaller than the sum of its proper divisors (71418892).

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

38862864 is a wasteful number, since it uses less digits than its factorization.

38862864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3784 (or 3775 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 38862864 is about 6234.0086621692. The cubic root of 38862864 is about 338.7231927335.

The spelling of 38862864 in words is "thirty-eight million, eight hundred sixty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1168 1314 1752 2628 3504 3697 5256 7394 10512 11091 14788 22182 29576 33273 44364 59152 66546 88728 133092 177456 266184 269881 532368 539762 809643 1079524 1619286 2159048 2428929 3238572 4318096 4857858 6477144 9715716 12954288 19431432 38862864