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10384808 = 237414523
BaseRepresentation
bin100111100111…
…010110101000
3201112121021112
4213213112220
510124303213
61010325452
7154161260
oct47472650
921477245
1010384808
115953295
123589888
1321c7a75
1415447a0
15da1ea8
hex9e75a8

10384808 has 32 divisors (see below), whose sum is σ = 22800960. Its totient is φ = 4341120.

The previous prime is 10384747. The next prime is 10384817. The reversal of 10384808 is 80848301.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

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, 35 + ... + 4557.

It is an arithmetic number, because the mean of its divisors is an integer number (712530).

Almost surely, 210384808 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 10384808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11400480).

10384808 is an abundant number, since it is smaller than the sum of its proper divisors (12416152).

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

10384808 is a wasteful number, since it uses less digits than its factorization.

10384808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4577 (or 4573 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 10384808 is about 3222.5468188996. The cubic root of 10384808 is about 218.1722399415.

The spelling of 10384808 in words is "ten million, three hundred eighty-four thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 287 328 574 1148 2296 4523 9046 18092 31661 36184 63322 126644 185443 253288 370886 741772 1298101 1483544 2596202 5192404 10384808