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27324972 = 22335032
BaseRepresentation
bin110100000111…
…1001000101100
31220102020211000
41220033020230
523443344342
62413400300
7451154433
oct150171054
956366730
1027324972
1114473724
129199090
13587952c
1438b411a
1525eb44c
hex1a0f22c

27324972 has 36 divisors (see below), whose sum is σ = 70983640. Its totient is φ = 9090216.

The previous prime is 27324959. The next prime is 27324977. The reversal of 27324972 is 27942372.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

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

It is not an unprimeable number, because it can be changed into a prime (27324977) 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 11 ways as a sum of consecutive naturals, for example, 54073 + ... + 54575.

Almost surely, 227324972 is an apocalyptic number.

It is an amenable number.

27324972 is an abundant number, since it is smaller than the sum of its proper divisors (43658668).

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

27324972 is an equidigital number, since it uses as much as digits as its factorization.

27324972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 508 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 27324972 is about 5227.3293372429. The cubic root of 27324972 is about 301.1988031888.

The spelling of 27324972 in words is "twenty-seven million, three hundred twenty-four thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 503 1006 1509 2012 3018 4527 6036 9054 13581 18108 27162 54324 253009 506018 759027 1012036 1518054 2277081 3036108 4554162 6831243 9108324 13662486 27324972