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10442664 = 2332145037
BaseRepresentation
bin100111110101…
…011110101000
3201122112122100
4213311132220
510133131124
61011453400
7154522041
oct47653650
921575570
1010442664
115992801
1235b7260
1322181bb
14155b8c8
15db41c9
hex9f57a8

10442664 has 24 divisors (see below), whose sum is σ = 28282410. Its totient is φ = 3480864.

The previous prime is 10442657. The next prime is 10442671. The reversal of 10442664 is 46624401.

It is an interprime number because it is at equal distance from previous prime (10442657) and next prime (10442671).

It can be written as a sum of positive squares in only one way, i.e., 7518564 + 2924100 = 2742^2 + 1710^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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, 72447 + ... + 72590.

Almost surely, 210442664 is an apocalyptic number.

It is an amenable number.

10442664 is an abundant number, since it is smaller than the sum of its proper divisors (17839746).

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

10442664 is a wasteful number, since it uses less digits than its factorization.

10442664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145049 (or 145042 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 10442664 is about 3231.5111016365. The cubic root of 10442664 is about 218.5766513462.

The spelling of 10442664 in words is "ten million, four hundred forty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 145037 290074 435111 580148 870222 1160296 1305333 1740444 2610666 3480888 5221332 10442664