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38867712 = 2831317229
BaseRepresentation
bin1001010001000…
…1001100000000
32201010200110220
42110101030000
534422231322
63505023040
7651240642
oct224211400
981120426
1038867712
111aa37984
1211024a80
13808b360
14523a892
15362b55c
hex2511300

38867712 has 144 divisors (see below), whose sum is σ = 118470240. Its totient is φ = 11206656.

The previous prime is 38867701. The next prime is 38867753. The reversal of 38867712 is 21776883.

It is a super-2 number, since 2×388677122 = 3021398072229888, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169614 + ... + 169842.

It is an arithmetic number, because the mean of its divisors is an integer number (822710).

Almost surely, 238867712 is an apocalyptic number.

38867712 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 38867712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59235120).

38867712 is an abundant number, since it is smaller than the sum of its proper divisors (79602528).

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

38867712 is a wasteful number, since it uses less digits than its factorization.

38867712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 264 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 38867712 is about 6234.3974849219. The cubic root of 38867712 is about 338.7372769739.

The spelling of 38867712 in words is "thirty-eight million, eight hundred sixty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 128 136 156 192 204 208 221 229 256 272 312 384 408 416 442 458 544 624 663 687 768 816 832 884 916 1088 1248 1326 1374 1632 1664 1768 1832 2176 2496 2652 2748 2977 3264 3328 3536 3664 3893 4352 4992 5304 5496 5954 6528 7072 7328 7786 8931 9984 10608 10992 11679 11908 13056 14144 14656 15572 17862 21216 21984 23358 23816 28288 29312 31144 35724 42432 43968 46716 47632 50609 56576 58624 62288 71448 84864 87936 93432 95264 101218 124576 142896 151827 169728 175872 186864 190528 202436 249152 285792 303654 373728 381056 404872 498304 571584 607308 747456 762112 809744 996608 1143168 1214616 1494912 1619488 2286336 2429232 2989824 3238976 4858464 6477952 9716928 12955904 19433856 38867712