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18406944 = 253263913
BaseRepresentation
bin100011000110…
…1111000100000
31021122011120200
41012031320200
514203010234
61454305200
7312312363
oct106157040
937564520
1018406944
11a432456
1261b8200
133a762aa
1426320da
151938d99
hex118de20

18406944 has 36 divisors (see below), whose sum is σ = 52345566. Its totient is φ = 6135552.

The previous prime is 18406943. The next prime is 18406951. The reversal of 18406944 is 44960481.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 15210000 + 3196944 = 3900^2 + 1788^2 .

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 a junction number, because it is equal to n+sod(n) for n = 18406899 and 18406908.

It is not an unprimeable number, because it can be changed into a prime (18406943) 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, 31669 + ... + 32244.

Almost surely, 218406944 is an apocalyptic number.

It is an amenable number.

18406944 is an abundant number, since it is smaller than the sum of its proper divisors (33938622).

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

18406944 is a wasteful number, since it uses less digits than its factorization.

18406944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63929 (or 63918 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 18406944 is about 4290.3314557269. The cubic root of 18406944 is about 264.0344307711.

The spelling of 18406944 in words is "eighteen million, four hundred six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 63913 127826 191739 255652 383478 511304 575217 766956 1022608 1150434 1533912 2045216 2300868 3067824 4601736 6135648 9203472 18406944