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10442808 = 2332433373
BaseRepresentation
bin100111110101…
…100000111000
3201122112211200
4213311200320
510133132213
61011454200
7154522335
oct47654070
921575750
1010442808
115992922
1235b7360
13221829c
14155b98c
15db4273
hex9f5838

10442808 has 48 divisors (see below), whose sum is σ = 28948920. Its totient is φ = 3398976.

The previous prime is 10442807. The next prime is 10442819. The reversal of 10442808 is 80824401.

10442808 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10442801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1410 + ... + 4782.

Almost surely, 210442808 is an apocalyptic number.

10442808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10442808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14474460).

10442808 is an abundant number, since it is smaller than the sum of its proper divisors (18506112).

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

10442808 is a wasteful number, since it uses less digits than its factorization.

10442808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3428 (or 3421 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 10442808 is about 3231.5333821578. The cubic root of 10442808 is about 218.5776560354.

The spelling of 10442808 in words is "ten million, four hundred forty-two thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 3096 3373 6746 10119 13492 20238 26984 30357 40476 60714 80952 121428 145039 242856 290078 435117 580156 870234 1160312 1305351 1740468 2610702 3480936 5221404 10442808