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38269872 = 2432318573
BaseRepresentation
bin1001000111111…
…1001110110000
32200000022101200
42101333032300
534244113442
63444131200
7643200654
oct221771660
980008350
1038269872
111a6697a3
1210996b00
137c0c1c4
145122a64
15355e34c
hex247f3b0

38269872 has 60 divisors (see below), whose sum is σ = 110570304. Its totient is φ = 12343680.

The previous prime is 38269853. The next prime is 38269883. The reversal of 38269872 is 27896283.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178 + ... + 8750.

Almost surely, 238269872 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 38269872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55285152).

38269872 is an abundant number, since it is smaller than the sum of its proper divisors (72300432).

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

38269872 is a wasteful number, since it uses less digits than its factorization.

38269872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8618 (or 8609 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 38269872 is about 6186.2647857976. The cubic root of 38269872 is about 336.9915438418.

The spelling of 38269872 in words is "thirty-eight million, two hundred sixty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 8573 17146 25719 34292 51438 68584 77157 102876 137168 154314 205752 265763 308628 411504 531526 617256 797289 1063052 1234512 1594578 2126104 2391867 3189156 4252208 4783734 6378312 9567468 12756624 19134936 38269872