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10498384 = 2413172969
BaseRepresentation
bin101000000011…
…000101010000
3201202101002001
4220003011100
510141422014
61013003344
7155143351
oct50030520
921671061
1010498384
115a20656
123623554
132237680
141573d28
15dc5974
hexa03150

10498384 has 40 divisors (see below), whose sum is σ = 23201640. Its totient is φ = 4558848.

The previous prime is 10498381. The next prime is 10498403. The reversal of 10498384 is 48389401.

It can be written as a sum of positive squares in 4 ways, for example, as 784 + 10497600 = 28^2 + 3240^2 .

It is a super-2 number, since 2×104983842 = 220432133222912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10498381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2052 + ... + 5020.

It is an arithmetic number, because the mean of its divisors is an integer number (580041).

Almost surely, 210498384 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 10498384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11600820).

10498384 is an abundant number, since it is smaller than the sum of its proper divisors (12703256).

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

10498384 is a wasteful number, since it uses less digits than its factorization.

10498384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007 (or 3001 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 10498384 is about 3240.1209853955. The cubic root of 10498384 is about 218.9647226039.

The spelling of 10498384 in words is "ten million, four hundred ninety-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 2969 3536 5938 11876 23752 38597 47504 50473 77194 100946 154388 201892 308776 403784 617552 656149 807568 1312298 2624596 5249192 10498384