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27139752 = 23331719389
BaseRepresentation
bin110011110000…
…1111010101000
31220001211202000
41213201322220
523421433002
62405411000
7446453433
oct147417250
956054660
1027139752
1114357552
129109a60
135813133
14386681a
1525b161c
hex19e1ea8

27139752 has 128 divisors (see below), whose sum is σ = 84240000. Its totient is φ = 8045568.

The previous prime is 27139741. The next prime is 27139781. The reversal of 27139752 is 25793172.

It is a super-2 number, since 2×271397522 = 1473132277243008, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69574 + ... + 69962.

It is an arithmetic number, because the mean of its divisors is an integer number (658125).

Almost surely, 227139752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27139752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42120000).

27139752 is an abundant number, since it is smaller than the sum of its proper divisors (57100248).

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

27139752 is a wasteful number, since it uses less digits than its factorization.

27139752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 430 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 27139752 is about 5209.5827088165. The cubic root of 27139752 is about 300.5167095266.

The spelling of 27139752 in words is "twenty-seven million, one hundred thirty-nine thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 27 34 36 38 51 54 57 68 72 76 102 108 114 136 152 153 171 204 216 228 306 323 342 389 408 456 459 513 612 646 684 778 918 969 1026 1167 1224 1292 1368 1556 1836 1938 2052 2334 2584 2907 3112 3501 3672 3876 4104 4668 5814 6613 7002 7391 7752 8721 9336 10503 11628 13226 14004 14782 17442 19839 21006 22173 23256 26452 28008 29564 34884 39678 42012 44346 52904 59128 59517 66519 69768 79356 84024 88692 119034 125647 133038 158712 177384 178551 199557 238068 251294 266076 357102 376941 399114 476136 502588 532152 714204 753882 798228 1005176 1130823 1428408 1507764 1596456 2261646 3015528 3392469 4523292 6784938 9046584 13569876 27139752