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10074048 = 26371739
BaseRepresentation
bin100110011011…
…011111000000
3200221210222220
4212123133000
510034332143
6555531040
7151425255
oct46333700
920853886
1010074048
115760866
123459a80
13211949a
1414a342c
15d3ed83
hex99b7c0

10074048 has 56 divisors (see below), whose sum is σ = 27066240. Its totient is φ = 3306240.

The previous prime is 10073993. The next prime is 10074059. The reversal of 10074048 is 84047001.

10074048 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 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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13263 + ... + 14001.

Almost surely, 210074048 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 10074048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13533120).

10074048 is an abundant number, since it is smaller than the sum of its proper divisors (16992192).

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

10074048 is an equidigital number, since it uses as much as digits as its factorization.

10074048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 10074048 is about 3173.9640829726. The cubic root of 10074048 is about 215.9739337544.

The spelling of 10074048 in words is "ten million, seventy-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 142 192 213 284 426 568 739 852 1136 1478 1704 2217 2272 2956 3408 4434 4544 5912 6816 8868 11824 13632 17736 23648 35472 47296 52469 70944 104938 141888 157407 209876 314814 419752 629628 839504 1259256 1679008 2518512 3358016 5037024 10074048