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38876928 = 283223227
BaseRepresentation
bin1001010001001…
…1011100000000
32201011011010020
42110103130000
534423030203
63505133440
7651306546
oct224233400
981134106
1038876928
111aa438a2
121102a280
1380925cc
14523dd96
15362e153
hex2513700

38876928 has 72 divisors (see below), whose sum is σ = 104391168. Its totient is φ = 12844032.

The previous prime is 38876881. The next prime is 38876933. The reversal of 38876928 is 82967883.

It is a super-2 number, since 2×388769282 = 3022831061434368, which contains 22 as substring.

It is a congruent number.

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, 171151 + ... + 171377.

Almost surely, 238876928 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 38876928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52195584).

38876928 is an abundant number, since it is smaller than the sum of its proper divisors (65514240).

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

38876928 is a wasteful number, since it uses less digits than its factorization.

38876928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 455 counting only the distinct ones).

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

The square root of 38876928 is about 6235.1365662670. The cubic root of 38876928 is about 338.7640477465.

The spelling of 38876928 in words is "thirty-eight million, eight hundred seventy-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 223 227 256 384 446 454 669 681 768 892 908 1338 1362 1784 1816 2676 2724 3568 3632 5352 5448 7136 7264 10704 10896 14272 14528 21408 21792 28544 29056 42816 43584 50621 57088 58112 85632 87168 101242 151863 171264 174336 202484 303726 404968 607452 809936 1214904 1619872 2429808 3239744 4859616 6479488 9719232 12958976 19438464 38876928