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27300928 = 26894793
BaseRepresentation
bin110100000100…
…1010001000000
31220101000211111
41220021101000
523442112203
62413053104
7451024354
oct150112100
956330744
1027300928
1114457656
129187194
13586b5c5
1438a9464
1525e426d
hex1a09440

27300928 has 28 divisors (see below), whose sum is σ = 54795420. Its totient is φ = 13494272.

The previous prime is 27300907. The next prime is 27300947. The reversal of 27300928 is 82900372.

It can be written as a sum of positive squares in 2 ways, for example, as 14684224 + 12616704 = 3832^2 + 3552^2 .

It is a super-2 number, since 2×273009282 = 1490681339322368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27300928.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3300 + ... + 8092.

Almost surely, 227300928 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 27300928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27397710).

27300928 is an abundant number, since it is smaller than the sum of its proper divisors (27494492).

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

27300928 is an equidigital number, since it uses as much as digits as its factorization.

27300928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4894 (or 4884 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 27300928 is about 5225.0289951349. The cubic root of 27300928 is about 301.1104328730.

The spelling of 27300928 in words is "twenty-seven million, three hundred thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 89 178 356 712 1424 2848 4793 5696 9586 19172 38344 76688 153376 306752 426577 853154 1706308 3412616 6825232 13650464 27300928