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38872896 = 263293691
BaseRepresentation
bin1001010001001…
…0011101000000
32201010221120220
42110102131000
534422413041
63505103040
7651262026
oct224223500
981127526
1038872896
111aa40867
1211027a80
13809081a
14523c716
15362cd66
hex2512740

38872896 has 56 divisors (see below), whose sum is σ = 103351584. Its totient is φ = 12894720.

The previous prime is 38872891. The next prime is 38872913. The reversal of 38872896 is 69827883.

It is a super-2 number, since 2×388728962 = 3022204086853632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38872891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55911 + ... + 56601.

It is an arithmetic number, because the mean of its divisors is an integer number (1845564).

Almost surely, 238872896 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 38872896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51675792).

38872896 is an abundant number, since it is smaller than the sum of its proper divisors (64478688).

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

38872896 is a wasteful number, since it uses less digits than its factorization.

38872896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 989 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The square root of 38872896 is about 6234.8132289588. The cubic root of 38872896 is about 338.7523360541.

The spelling of 38872896 in words is "thirty-eight million, eight hundred seventy-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 293 586 691 879 1172 1382 1758 2073 2344 2764 3516 4146 4688 5528 7032 8292 9376 11056 14064 16584 18752 22112 28128 33168 44224 56256 66336 132672 202463 404926 607389 809852 1214778 1619704 2429556 3239408 4859112 6478816 9718224 12957632 19436448 38872896