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27445392 = 243613181
BaseRepresentation
bin110100010110…
…0100010010000
31220122101000000
41220230202100
524011223032
62420130000
7452165502
oct150544220
956571000
1027445392
1114546147
129236900
1358bc2a0
143905d72
152621e7c
hex1a2c890

27445392 has 140 divisors (see below), whose sum is σ = 86333884. Its totient is φ = 8398080.

The previous prime is 27445391. The next prime is 27445399. The reversal of 27445392 is 29354472.

It can be written as a sum of positive squares in 2 ways, for example, as 1679616 + 25765776 = 1296^2 + 5076^2 .

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 27445392 = 1413 + 2913 = 1983 + 2703.

It is not an unprimeable number, because it can be changed into a prime (27445391) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 151542 + ... + 151722.

Almost surely, 227445392 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 27445392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43166942).

27445392 is an abundant number, since it is smaller than the sum of its proper divisors (58888492).

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

27445392 is a wasteful number, since it uses less digits than its factorization.

27445392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 199 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 27445392 is about 5238.8349849943. The cubic root of 27445392 is about 301.6406116232.

The spelling of 27445392 in words is "twenty-seven million, four hundred forty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 181 208 216 234 243 312 324 351 362 432 468 486 543 624 648 702 724 729 936 972 1053 1086 1296 1404 1448 1458 1629 1872 1944 2106 2172 2353 2808 2896 2916 3159 3258 3888 4212 4344 4706 4887 5616 5832 6318 6516 7059 8424 8688 9412 9477 9774 11664 12636 13032 14118 14661 16848 18824 18954 19548 21177 25272 26064 28236 29322 37648 37908 39096 42354 43983 50544 56472 58644 63531 75816 78192 84708 87966 112944 117288 127062 131949 151632 169416 175932 190593 234576 254124 263898 338832 351864 381186 508248 527796 571779 703728 762372 1016496 1055592 1143558 1524744 1715337 2111184 2287116 3049488 3430674 4574232 6861348 9148464 13722696 27445392