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27438912 = 26346779
BaseRepresentation
bin110100010101…
…0111101000000
31220122001010000
41220222331000
524011021122
62420040000
7452140554
oct150527500
956561100
1027438912
1114541296
129233000
1358b9357
143903864
1526200ac
hex1a2af40

27438912 has 140 divisors (see below), whose sum is σ = 83596480. Its totient is φ = 8895744.

The previous prime is 27438911. The next prime is 27438923. The reversal of 27438912 is 21983472.

27438912 is a `hidden beast` number, since 274 + 389 + 1 + 2 = 666.

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 (27438911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 347289 + ... + 347367.

Almost surely, 227438912 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 27438912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41798240).

27438912 is an abundant number, since it is smaller than the sum of its proper divisors (56157568).

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

27438912 is an equidigital number, since it uses as much as digits as its factorization.

27438912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 151 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 27438912 is about 5238.2164903715. The cubic root of 27438912 is about 301.6168701148.

The spelling of 27438912 in words is "twenty-seven million, four hundred thirty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 79 81 96 108 134 144 158 162 192 201 216 237 268 288 316 324 402 432 474 536 576 603 632 648 711 804 864 948 1072 1206 1264 1296 1422 1608 1728 1809 1896 2133 2144 2412 2528 2592 2844 3216 3618 3792 4266 4288 4824 5056 5184 5293 5427 5688 6399 6432 7236 7584 8532 9648 10586 10854 11376 12798 12864 14472 15168 15879 17064 19296 21172 21708 22752 25596 28944 31758 34128 38592 42344 43416 45504 47637 51192 57888 63516 68256 84688 86832 95274 102384 115776 127032 136512 142911 169376 173664 190548 204768 254064 285822 338752 347328 381096 409536 428733 508128 571644 762192 857466 1016256 1143288 1524384 1714932 2286576 3048768 3429864 4573152 6859728 9146304 13719456 27438912