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38974912 = 2637109151
BaseRepresentation
bin1001010010101…
…1010111000000
32201100010112021
42110223113000
534434144122
63511211224
7652165324
oct224532700
981303467
1038974912
1120000479
1211076b14
1380c80a2
145267984
15364d1c7
hex252b5c0

38974912 has 56 divisors (see below), whose sum is σ = 80690720. Its totient is φ = 18662400.

The previous prime is 38974889. The next prime is 38974921. The reversal of 38974912 is 21947983.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258037 + ... + 258187.

Almost surely, 238974912 is an apocalyptic number.

38974912 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 38974912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40345360).

38974912 is an abundant number, since it is smaller than the sum of its proper divisors (41715808).

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

38974912 is a wasteful number, since it uses less digits than its factorization.

38974912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 299 counting only the distinct ones).

The product of its digits is 108864, while the sum is 43.

The square root of 38974912 is about 6242.9890277014. The cubic root of 38974912 is about 339.0484118549.

The spelling of 38974912 in words is "thirty-eight million, nine hundred seventy-four thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 37 64 74 109 148 151 218 296 302 436 592 604 872 1184 1208 1744 2368 2416 3488 4033 4832 5587 6976 8066 9664 11174 16132 16459 22348 32264 32918 44696 64528 65836 89392 129056 131672 178784 258112 263344 357568 526688 608983 1053376 1217966 2435932 4871864 9743728 19487456 38974912