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5964896 = 25731859
BaseRepresentation
bin10110110000010001100000
3102020001022002
4112300101200
53011334041
6331503132
7101462240
oct26602140
912201262
105964896
113404573
121bb7aa8
13130b032
14b13b20
157cc59b
hex5b0460

5964896 has 48 divisors (see below), whose sum is σ = 13870080. Its totient is φ = 2471040.

The previous prime is 5964887. The next prime is 5964919. The reversal of 5964896 is 6984695.

It is a self number, because there is not a number n which added to its sum of digits gives 5964896.

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, 6515 + ... + 7373.

It is an arithmetic number, because the mean of its divisors is an integer number (288960).

Almost surely, 25964896 is an apocalyptic number.

5964896 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5964896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6935040).

5964896 is an abundant number, since it is smaller than the sum of its proper divisors (7905184).

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

5964896 is a wasteful number, since it uses less digits than its factorization.

5964896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 899 counting only the distinct ones).

The product of its digits is 466560, while the sum is 47.

The square root of 5964896 is about 2442.3136571702. The cubic root of 5964896 is about 181.3569870144.

The spelling of 5964896 in words is "five million, nine hundred sixty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 859 868 992 1718 1736 3436 3472 6013 6872 6944 12026 13744 24052 26629 27488 48104 53258 96208 106516 186403 192416 213032 372806 426064 745612 852128 1491224 2982448 5964896