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38809152 = 263337607
BaseRepresentation
bin1001010000001…
…0111001000000
32201000201011000
42110002321000
534413343102
63503452000
7650605134
oct224027100
981021130
1038809152
111a9a7988
1210bb7000
13806a7c5
1452233c4
15361901c
hex2502e40

38809152 has 112 divisors (see below), whose sum is σ = 117368320. Its totient is φ = 12566016.

The previous prime is 38809139. The next prime is 38809171. The reversal of 38809152 is 25190883.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 63633 + ... + 64239.

Almost surely, 238809152 is an apocalyptic number.

38809152 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 38809152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58684160).

38809152 is an abundant number, since it is smaller than the sum of its proper divisors (78559168).

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

38809152 is a wasteful number, since it uses less digits than its factorization.

38809152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 38809152 is about 6229.6991901696. The cubic root of 38809152 is about 338.5670720707.

The spelling of 38809152 in words is "thirty-eight million, eight hundred nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 144 148 192 216 222 288 296 333 432 444 576 592 607 666 864 888 999 1184 1214 1332 1728 1776 1821 1998 2368 2428 2664 3552 3642 3996 4856 5328 5463 7104 7284 7992 9712 10656 10926 14568 15984 16389 19424 21312 21852 22459 29136 31968 32778 38848 43704 44918 58272 63936 65556 67377 87408 89836 116544 131112 134754 174816 179672 202131 262224 269508 349632 359344 404262 524448 539016 606393 718688 808524 1048896 1078032 1212786 1437376 1617048 2156064 2425572 3234096 4312128 4851144 6468192 9702288 12936384 19404576 38809152