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10556048 = 24171972
BaseRepresentation
bin101000010001…
…001010010000
3201212022011202
4220101022100
510200243143
61014130332
7155503436
oct50211220
921768152
1010556048
115a5aa08
1236509a8
1322579a9
14158ad56
15dd7ab8
hexa11290

10556048 has 30 divisors (see below), whose sum is σ = 21765906. Its totient is φ = 4942336.

The previous prime is 10556047. The next prime is 10556053. The reversal of 10556048 is 84065501.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 9048064 + 1507984 = 3008^2 + 1228^2 .

It is a super-2 number, since 2×105560482 = 222860298756608, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10556048.

It is not an unprimeable number, because it can be changed into a prime (10556047) 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 5 ways as a sum of consecutive naturals, for example, 53486 + ... + 53682.

Almost surely, 210556048 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 10556048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10882953).

10556048 is an abundant number, since it is smaller than the sum of its proper divisors (11209858).

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

10556048 is an equidigital number, since it uses as much as digits as its factorization.

10556048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 10556048 is about 3249.0072329867. The cubic root of 10556048 is about 219.3648900518.

The spelling of 10556048 in words is "ten million, five hundred fifty-six thousand, forty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 197 272 394 788 1576 3152 3349 6698 13396 26792 38809 53584 77618 155236 310472 620944 659753 1319506 2639012 5278024 10556048