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10483008 = 26371769
BaseRepresentation
bin100111111111…
…010101000000
3201201120222120
4213333111000
510140424013
61012404240
7155050464
oct47772500
921646876
1010483008
115a10048
123616680
132230683
14156c4a4
15dc1123
hex9ff540

10483008 has 56 divisors (see below), whose sum is σ = 28163520. Its totient is φ = 3440640.

The previous prime is 10482973. The next prime is 10483027. The reversal of 10483008 is 80038401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13248 + ... + 14016.

It is an arithmetic number, because the mean of its divisors is an integer number (502920).

Almost surely, 210483008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10483008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14081760).

10483008 is an abundant number, since it is smaller than the sum of its proper divisors (17680512).

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

10483008 is an equidigital number, since it uses as much as digits as its factorization.

10483008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 10483008 is about 3237.7473650673. The cubic root of 10483008 is about 218.8577713311.

The spelling of 10483008 in words is "ten million, four hundred eighty-three thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 142 192 213 284 426 568 769 852 1136 1538 1704 2272 2307 3076 3408 4544 4614 6152 6816 9228 12304 13632 18456 24608 36912 49216 54599 73824 109198 147648 163797 218396 327594 436792 655188 873584 1310376 1747168 2620752 3494336 5241504 10483008