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10056644 = 2213415389
BaseRepresentation
bin100110010111…
…001111000100
3200220221010022
4212113033010
510033303034
6555314312
7151323443
oct46271704
920827108
1010056644
115749784
12344b998
1321115a0
14149ad5a
15d39b2e
hex9973c4

10056644 has 48 divisors (see below), whose sum is σ = 20003760. Its totient is φ = 4392960.

The previous prime is 10056623. The next prime is 10056659. The reversal of 10056644 is 44665001.

It is a happy number.

10056644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2560000 + 7496644 = 1600^2 + 2738^2 .

It is a super-2 number, since 2×100566442 = 202272177085472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112952 + ... + 113040.

It is an arithmetic number, because the mean of its divisors is an integer number (416745).

Almost surely, 210056644 is an apocalyptic number.

It is an amenable number.

10056644 is a deficient number, since it is larger than the sum of its proper divisors (9947116).

10056644 is a wasteful number, since it uses less digits than its factorization.

10056644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 10056644 is about 3171.2212158725. The cubic root of 10056644 is about 215.8494893402.

It can be divided in two parts, 100 and 56644, that multiplied together give a square (5664400 = 23802).

The spelling of 10056644 in words is "ten million, fifty-six thousand, six hundred forty-four".

Divisors: 1 2 4 13 26 41 52 53 82 89 106 164 178 212 356 533 689 1066 1157 1378 2132 2173 2314 2756 3649 4346 4628 4717 7298 8692 9434 14596 18868 28249 47437 56498 61321 94874 112996 122642 189748 193397 245284 386794 773588 2514161 5028322 10056644