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5305856 = 2943241
BaseRepresentation
bin10100001111011000000000
3100222120021012
4110033120000
52324241411
6305420052
763045653
oct24173000
910876235
105305856
112aa4406
12193a628
13113a07a
149c189a
156ec18b
hex50f600

5305856 has 40 divisors (see below), whose sum is σ = 10892904. Its totient is φ = 2580480.

The previous prime is 5305849. The next prime is 5305871. The reversal of 5305856 is 6585035.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21896 + ... + 22136.

Almost surely, 25305856 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 5305856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5446452).

5305856 is an abundant number, since it is smaller than the sum of its proper divisors (5587048).

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

5305856 is an equidigital number, since it uses as much as digits as its factorization.

5305856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 5305856 is about 2303.4443774487. Note that the first 3 decimals coincide. The cubic root of 5305856 is about 174.4155304184.

The spelling of 5305856 in words is "five million, three hundred five thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 241 256 344 482 512 688 964 1376 1928 2752 3856 5504 7712 10363 11008 15424 20726 22016 30848 41452 61696 82904 123392 165808 331616 663232 1326464 2652928 5305856