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38976512 = 210172239
BaseRepresentation
bin1001010010101…
…1110000000000
32201100012201112
42110223300000
534434222022
63511222452
7652203101
oct224536000
981305645
1038976512
11200016a3
1211077a28
1380c8a33
1452683a8
15364d8e2
hex252bc00

38976512 has 44 divisors (see below), whose sum is σ = 82535040. Its totient is φ = 18333696.

The previous prime is 38976491. The next prime is 38976523. The reversal of 38976512 is 21567983.

It is a super-2 number, since 2×389765122 = 3038336975372288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38976512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16289 + ... + 18527.

Almost surely, 238976512 is an apocalyptic number.

38976512 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 38976512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41267520).

38976512 is an abundant number, since it is smaller than the sum of its proper divisors (43558528).

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

38976512 is a wasteful number, since it uses less digits than its factorization.

38976512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2258 counting only the distinct ones).

The product of its digits is 90720, while the sum is 41.

The square root of 38976512 is about 6243.1171701322. The cubic root of 38976512 is about 339.0530513354.

The spelling of 38976512 in words is "thirty-eight million, nine hundred seventy-six thousand, five hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 2176 2239 4352 4478 8704 8956 17408 17912 35824 38063 71648 76126 143296 152252 286592 304504 573184 609008 1146368 1218016 2292736 2436032 4872064 9744128 19488256 38976512