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38864544 = 253571709
BaseRepresentation
bin1001010001000…
…0011010100000
32201010112010120
42110100122200
534422131134
63505000240
7651225465
oct224203240
981115116
1038864544
111aa35564
1211023080
138089a94
14523966c
15362a649
hex25106a0

38864544 has 48 divisors (see below), whose sum is σ = 102342240. Its totient is φ = 12913920.

The previous prime is 38864521. The next prime is 38864587. The reversal of 38864544 is 44546883.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 38864496 and 38864505.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54462 + ... + 55170.

It is an arithmetic number, because the mean of its divisors is an integer number (2132130).

Almost surely, 238864544 is an apocalyptic number.

It is an amenable number.

38864544 is an abundant number, since it is smaller than the sum of its proper divisors (63477696).

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

38864544 is a wasteful number, since it uses less digits than its factorization.

38864544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1285 counting only the distinct ones).

The product of its digits is 368640, while the sum is 42.

The square root of 38864544 is about 6234.1434054728. The cubic root of 38864544 is about 338.7280735435.

The spelling of 38864544 in words is "thirty-eight million, eight hundred sixty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 571 709 1142 1418 1713 2127 2284 2836 3426 4254 4568 5672 6852 8508 9136 11344 13704 17016 18272 22688 27408 34032 54816 68064 404839 809678 1214517 1619356 2429034 3238712 4858068 6477424 9716136 12954848 19432272 38864544