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10498048 = 21211233
BaseRepresentation
bin101000000011…
…000000000000
3201202100121121
4220003000000
510141414143
61013002024
7155142361
oct50030000
921670547
1010498048
115a20380
123623314
132237482
141573b68
15dc57ed
hexa03000

10498048 has 52 divisors (see below), whose sum is σ = 23000328. Its totient is φ = 4751360.

The previous prime is 10498043. The next prime is 10498049. The reversal of 10498048 is 84089401.

It is a super-2 number, since 2×104980482 = 220418023620608, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10498043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44940 + ... + 45172.

It is an arithmetic number, because the mean of its divisors is an integer number (442314).

Almost surely, 210498048 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 10498048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11500164).

10498048 is an abundant number, since it is smaller than the sum of its proper divisors (12502280).

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

10498048 is an equidigital number, since it uses as much as digits as its factorization.

10498048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 10498048 is about 3240.0691350649. The cubic root of 10498048 is about 218.9623865957.

The spelling of 10498048 in words is "ten million, four hundred ninety-eight thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 233 256 352 466 512 704 932 1024 1408 1864 2048 2563 2816 3728 4096 5126 5632 7456 10252 11264 14912 20504 22528 29824 41008 45056 59648 82016 119296 164032 238592 328064 477184 656128 954368 1312256 2624512 5249024 10498048