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9055656 = 2332294337
BaseRepresentation
bin100010100010…
…110110101000
3122001002000200
4202202312220
54304240111
6522032200
7136654221
oct42426650
918032020
109055656
115125715
123048660
131b50a9c
1412ba248
15bdd256
hex8a2da8

9055656 has 48 divisors (see below), whose sum is σ = 25377300. Its totient is φ = 2913792.

The previous prime is 9055601. The next prime is 9055663. The reversal of 9055656 is 6565509.

9055656 is a `hidden beast` number, since 90 + 5 + 565 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8122500 + 933156 = 2850^2 + 966^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 9055656.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81 + ... + 4256.

Almost surely, 29055656 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 9055656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12688650).

9055656 is an abundant number, since it is smaller than the sum of its proper divisors (16321644).

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

9055656 is a wasteful number, since it uses less digits than its factorization.

9055656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4378 (or 4371 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 9055656 is about 3009.2617034748. The cubic root of 9055656 is about 208.4362760939.

It can be divided in two parts, 905 and 5656, that added together give a 8-th power (6561 = 38).

The spelling of 9055656 in words is "nine million, fifty-five thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 4337 8674 13011 17348 26022 34696 39033 52044 78066 104088 125773 156132 251546 312264 377319 503092 754638 1006184 1131957 1509276 2263914 3018552 4527828 9055656