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27402368 = 277217257
BaseRepresentation
bin110100010001…
…0000010000000
31220120011222112
41220202002000
524003333433
62415154452
7451626200
oct150420200
956504875
1027402368
1114516894
129215a28
1358a5826
1438d4400
152614348
hex1a22080

27402368 has 96 divisors (see below), whose sum is σ = 67500540. Its totient is φ = 11010048.

The previous prime is 27402341. The next prime is 27402371. The reversal of 27402368 is 86320472.

It can be written as a sum of positive squares in 2 ways, for example, as 21603904 + 5798464 = 4648^2 + 2408^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106496 + ... + 106752.

Almost surely, 227402368 is an apocalyptic number.

27402368 is a gapful number since it is divisible by the number (28) 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 27402368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33750270).

27402368 is an abundant number, since it is smaller than the sum of its proper divisors (40098172).

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

27402368 is a wasteful number, since it uses less digits than its factorization.

27402368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 27402368 is about 5234.7271180072. The cubic root of 27402368 is about 301.4829097036.

The spelling of 27402368 in words is "twenty-seven million, four hundred two thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 128 136 196 224 238 257 272 392 448 476 514 544 784 833 896 952 1028 1088 1568 1666 1799 1904 2056 2176 3136 3332 3598 3808 4112 4369 6272 6664 7196 7616 8224 8738 12593 13328 14392 15232 16448 17476 25186 26656 28784 30583 32896 34952 50372 53312 57568 61166 69904 100744 106624 115136 122332 139808 201488 214081 230272 244664 279616 402976 428162 489328 559232 805952 856324 978656 1611904 1712648 1957312 3425296 3914624 6850592 13701184 27402368