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38882912 = 2547103251
BaseRepresentation
bin1001010001010…
…0111001100000
32201011110022212
42110110321200
534423223122
63505221252
7651333155
oct224247140
981143285
1038882912
111aa48342
1211031828
138095253
14524222c
153630ce2
hex2514e60

38882912 has 48 divisors (see below), whose sum is σ = 79252992. Its totient is φ = 18768000.

The previous prime is 38882863. The next prime is 38882923. The reversal of 38882912 is 21928883.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 38882912.

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, 154787 + ... + 155037.

It is an arithmetic number, because the mean of its divisors is an integer number (1651104).

Almost surely, 238882912 is an apocalyptic number.

38882912 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 38882912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39626496).

38882912 is an abundant number, since it is smaller than the sum of its proper divisors (40370080).

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

38882912 is a wasteful number, since it uses less digits than its factorization.

38882912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 403 counting only the distinct ones).

The product of its digits is 55296, while the sum is 41.

The square root of 38882912 is about 6235.6164089848. The cubic root of 38882912 is about 338.7814278926.

The spelling of 38882912 in words is "thirty-eight million, eight hundred eighty-two thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 47 94 103 188 206 251 376 412 502 752 824 1004 1504 1648 2008 3296 4016 4841 8032 9682 11797 19364 23594 25853 38728 47188 51706 77456 94376 103412 154912 188752 206824 377504 413648 827296 1215091 2430182 4860364 9720728 19441456 38882912