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27028944 = 2433193789
BaseRepresentation
bin110011100011…
…0110111010000
31212212012202000
41213012313100
523404411234
62403154000
7445512405
oct147066720
955765660
1027028944
1114291278
129075900
1357a4877
1438382ac
15258d899
hex19c6dd0

27028944 has 160 divisors (see below), whose sum is σ = 84816000. Its totient is φ = 8211456.

The previous prime is 27028943. The next prime is 27028973. The reversal of 27028944 is 44982072.

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

It is a junction number, because it is equal to n+sod(n) for n = 27028899 and 27028908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27028943) by changing a digit.

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, 303652 + ... + 303740.

It is an arithmetic number, because the mean of its divisors is an integer number (530100).

Almost surely, 227028944 is an apocalyptic number.

27028944 is a gapful number since it is divisible by the number (24) 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 27028944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42408000).

27028944 is an abundant number, since it is smaller than the sum of its proper divisors (57787056).

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

27028944 is a wasteful number, since it uses less digits than its factorization.

27028944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 27028944 is about 5198.9368143881. The cubic root of 27028944 is about 300.1071617167.

It can be divided in two parts, 27028 and 944, that added together give a palindrome (27972).

The spelling of 27028944 in words is "twenty-seven million, twenty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 37 38 48 54 57 72 74 76 89 108 111 114 144 148 152 171 178 216 222 228 267 296 304 333 342 356 432 444 456 513 534 592 666 684 703 712 801 888 912 999 1026 1068 1332 1368 1406 1424 1602 1691 1776 1998 2052 2109 2136 2403 2664 2736 2812 3204 3293 3382 3996 4104 4218 4272 4806 5073 5328 5624 6327 6408 6586 6764 7992 8208 8436 9612 9879 10146 11248 12654 12816 13172 13528 15219 15984 16872 18981 19224 19758 20292 25308 26344 27056 29637 30438 33744 37962 38448 39516 40584 45657 50616 52688 59274 60876 62567 75924 79032 81168 88911 91314 101232 118548 121752 125134 151848 158064 177822 182628 187701 237096 243504 250268 303696 355644 365256 375402 474192 500536 563103 711288 730512 750804 1001072 1126206 1422576 1501608 1689309 2252412 3003216 3378618 4504824 6757236 9009648 13514472 27028944