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39379104 = 2532136733
BaseRepresentation
bin1001011000111…
…0000010100000
32202002122222100
42112032002200
540040112404
63524010400
7655500612
oct226160240
982078870
1039379104
1120257116
1211230a00
13820a05b
145330db2
1536ccd39
hex258e0a0

39379104 has 36 divisors (see below), whose sum is σ = 111985146. Its totient is φ = 13126272.

The previous prime is 39379079. The next prime is 39379111. The reversal of 39379104 is 40197393.

It can be written as a sum of positive squares in only one way, i.e., 39087504 + 291600 = 6252^2 + 540^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 68079 + ... + 68654.

Almost surely, 239379104 is an apocalyptic number.

It is an amenable number.

39379104 is an abundant number, since it is smaller than the sum of its proper divisors (72606042).

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

39379104 is a wasteful number, since it uses less digits than its factorization.

39379104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136749 (or 136738 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 39379104 is about 6275.2772050325. The cubic root of 39379104 is about 340.2164250671.

It can be divided in two parts, 3937 and 9104, that added together give a triangular number (13041 = T161).

The spelling of 39379104 in words is "thirty-nine million, three hundred seventy-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 136733 273466 410199 546932 820398 1093864 1230597 1640796 2187728 2461194 3281592 4375456 4922388 6563184 9844776 13126368 19689552 39379104