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38046912 = 263712791
BaseRepresentation
bin1001000100100…
…0110011000000
32122120222112220
42101020303000
534220000122
63435251040
7641251641
oct221106300
978528486
1038046912
111a527232
12108a9a80
137b61887
1450a56c8
15351825c
hex2448cc0

38046912 has 56 divisors (see below), whose sum is σ = 102120192. Its totient is φ = 12499200.

The previous prime is 38046863. The next prime is 38046919. The reversal of 38046912 is 21964083.

It is not an unprimeable number, because it can be changed into a prime (38046919) 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, 12237 + ... + 15027.

Almost surely, 238046912 is an apocalyptic number.

38046912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38046912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51060096).

38046912 is an abundant number, since it is smaller than the sum of its proper divisors (64073280).

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

38046912 is a wasteful number, since it uses less digits than its factorization.

38046912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 38046912 is about 6168.2178949839. The cubic root of 38046912 is about 336.3358320245.

The spelling of 38046912 in words is "thirty-eight million, forty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 142 192 213 284 426 568 852 1136 1704 2272 2791 3408 4544 5582 6816 8373 11164 13632 16746 22328 33492 44656 66984 89312 133968 178624 198161 267936 396322 535872 594483 792644 1188966 1585288 2377932 3170576 4755864 6341152 9511728 12682304 19023456 38046912