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38939904 = 283216901
BaseRepresentation
bin1001010010001…
…0110100000000
32201021100111200
42110202310000
534432034104
63510341200
7651661263
oct224426400
981240450
1038939904
111aa87143
121105a800
1380b5183
145258cda
153642b39
hex2522d00

38939904 has 54 divisors (see below), whose sum is σ = 112279986. Its totient is φ = 12979200.

The previous prime is 38939893. The next prime is 38939909. The reversal of 38939904 is 40993983.

It can be written as a sum of positive squares in only one way, i.e., 38937600 + 2304 = 6240^2 + 48^2 .

It is a super-2 number, since 2×389399042 = 3032632247058432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38939904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38939909) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6147 + ... + 10754.

It is an arithmetic number, because the mean of its divisors is an integer number (2079259).

Almost surely, 238939904 is an apocalyptic number.

It is an amenable number.

38939904 is an abundant number, since it is smaller than the sum of its proper divisors (73340082).

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

38939904 is a wasteful number, since it uses less digits than its factorization.

38939904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16923 (or 16906 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 38939904 is about 6240.1846126537. The cubic root of 38939904 is about 338.9468682230.

The spelling of 38939904 in words is "thirty-eight million, nine hundred thirty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 16901 33802 50703 67604 101406 135208 152109 202812 270416 304218 405624 540832 608436 811248 1081664 1216872 1622496 2163328 2433744 3244992 4326656 4867488 6489984 9734976 12979968 19469952 38939904