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38930112 = 2633131733
BaseRepresentation
bin1001010010000…
…0011011000000
32201020212002000
42110200123000
534431230422
63510224000
7651620604
oct224403300
981225060
1038930112
111aa7a851
1211055000
1380b0890
145255504
15363ecac
hex25206c0

38930112 has 112 divisors (see below), whose sum is σ = 123322080. Its totient is φ = 11971584.

The previous prime is 38930083. The next prime is 38930137. The reversal of 38930112 is 21103983.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21598 + ... + 23330.

It is an arithmetic number, because the mean of its divisors is an integer number (1101090).

Almost surely, 238930112 is an apocalyptic number.

38930112 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 38930112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61661040).

38930112 is an abundant number, since it is smaller than the sum of its proper divisors (84391968).

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

38930112 is a wasteful number, since it uses less digits than its factorization.

38930112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 38930112 is about 6239.3999711511. The cubic root of 38930112 is about 338.9184548164.

The spelling of 38930112 in words is "thirty-eight million, nine hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1733 1872 2496 2808 3466 3744 5199 5616 6932 7488 10398 11232 13864 15597 20796 22464 22529 27728 31194 41592 45058 46791 55456 62388 67587 83184 90116 93582 110912 124776 135174 166368 180232 187164 202761 249552 270348 332736 360464 374328 405522 499104 540696 608283 720928 748656 811044 998208 1081392 1216566 1441856 1497312 1622088 2162784 2433132 2994624 3244176 4325568 4866264 6488352 9732528 12976704 19465056 38930112