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27421344 = 253295213
BaseRepresentation
bin110100010011…
…0101010100000
31220121011000100
41220212222200
524004440334
62415422400
7452035416
oct150465240
956534010
1027421344
111452a075
129224a00
1358b1362
1438db2b6
152619c99
hex1a26aa0

27421344 has 36 divisors (see below), whose sum is σ = 77980266. Its totient is φ = 9140352.

The previous prime is 27421343. The next prime is 27421363. The reversal of 27421344 is 44312472.

It can be written as a sum of positive squares in only one way, i.e., 26010000 + 1411344 = 5100^2 + 1188^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (27421343) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 47319 + ... + 47894.

Almost surely, 227421344 is an apocalyptic number.

27421344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27421344 is an abundant number, since it is smaller than the sum of its proper divisors (50558922).

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

27421344 is a wasteful number, since it uses less digits than its factorization.

27421344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95229 (or 95218 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 27421344 is about 5236.5393152348. The cubic root of 27421344 is about 301.5524854380.

The spelling of 27421344 in words is "twenty-seven million, four hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 95213 190426 285639 380852 571278 761704 856917 1142556 1523408 1713834 2285112 3046816 3427668 4570224 6855336 9140448 13710672 27421344