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38089152 = 263289743
BaseRepresentation
bin1001000101001…
…1000111000000
32122200010111100
42101103013000
534222323102
63440214400
7641516043
oct221230700
978603440
1038089152
111a555a42
121090a400
137b77b7a
1450b6c5a
153525a1c
hex24531c0

38089152 has 84 divisors (see below), whose sum is σ = 110550960. Its totient is φ = 12536832.

The previous prime is 38089141. The next prime is 38089153. The reversal of 38089152 is 25198083.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38089153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50893 + ... + 51635.

Almost surely, 238089152 is an apocalyptic number.

38089152 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 38089152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55275480).

38089152 is an abundant number, since it is smaller than the sum of its proper divisors (72461808).

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

38089152 is a wasteful number, since it uses less digits than its factorization.

38089152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 837 counting only the distinct ones).

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

The square root of 38089152 is about 6171.6409487267. The cubic root of 38089152 is about 336.4602536094.

The spelling of 38089152 in words is "thirty-eight million, eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 89 96 144 178 192 267 288 356 534 576 712 743 801 1068 1424 1486 1602 2136 2229 2848 2972 3204 4272 4458 5696 5944 6408 6687 8544 8916 11888 12816 13374 17088 17832 23776 25632 26748 35664 47552 51264 53496 66127 71328 106992 132254 142656 198381 213984 264508 396762 427968 529016 595143 793524 1058032 1190286 1587048 2116064 2380572 3174096 4232128 4761144 6348192 9522288 12696384 19044576 38089152