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8009424 = 243255621
BaseRepresentation
bin11110100011011011010000
3120001220212100
4132203123100
54022300144
6443400400
7125036043
oct36433320
916056770
108009424
114580665
122823100
131875807
1410c6c5a
15a83269
hex7a36d0

8009424 has 30 divisors (see below), whose sum is σ = 22415666. Its totient is φ = 2669760.

The previous prime is 8009399. The next prime is 8009453. The reversal of 8009424 is 4249008.

8009424 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4981824 + 3027600 = 2232^2 + 1740^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27667 + ... + 27954.

Almost surely, 28009424 is an apocalyptic number.

It is an amenable number.

8009424 is an abundant number, since it is smaller than the sum of its proper divisors (14406242).

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

8009424 is a wasteful number, since it uses less digits than its factorization.

8009424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55635 (or 55626 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8009424 is about 2830.0925779910. The cubic root of 8009424 is about 200.0785025161.

The spelling of 8009424 in words is "eight million, nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 55621 111242 166863 222484 333726 444968 500589 667452 889936 1001178 1334904 2002356 2669808 4004712 8009424