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38865204 = 22337101509
BaseRepresentation
bin1001010001000…
…0100100110100
32201010120001000
42110100210310
534422141304
63505003300
7651230430
oct224204464
981116030
1038865204
111aa36004
1211023530
13808a181
1452399c0
15362a939
hex2510934

38865204 has 96 divisors (see below), whose sum is σ = 116524800. Its totient is φ = 10972800.

The previous prime is 38865181. The next prime is 38865209. The reversal of 38865204 is 40256883.

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 (38865209) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76102 + ... + 76610.

It is an arithmetic number, because the mean of its divisors is an integer number (1213800).

Almost surely, 238865204 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 38865204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58262400).

38865204 is an abundant number, since it is smaller than the sum of its proper divisors (77659596).

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

38865204 is a wasteful number, since it uses less digits than its factorization.

38865204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 38865204 is about 6234.1963395453. The cubic root of 38865204 is about 338.7299909660.

The spelling of 38865204 in words is "thirty-eight million, eight hundred sixty-five thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 101 108 126 189 202 252 303 378 404 509 606 707 756 909 1018 1212 1414 1527 1818 2036 2121 2727 2828 3054 3563 3636 4242 4581 5454 6108 6363 7126 8484 9162 10689 10908 12726 13743 14252 18324 19089 21378 25452 27486 32067 38178 42756 51409 54972 64134 76356 96201 102818 128268 154227 192402 205636 308454 359863 384804 462681 616908 719726 925362 1079589 1388043 1439452 1850724 2159178 2776086 3238767 4318356 5552172 6477534 9716301 12955068 19432602 38865204