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5864032 = 25297189
BaseRepresentation
bin10110010111101001100000
3102000220221101
4112113221200
53000122112
6325404144
7100562206
oct26275140
912026841
105864032
113345809
121b69654
1312a4155
14ac9076
157ac757
hex597a60

5864032 has 48 divisors (see below), whose sum is σ = 12247200. Its totient is φ = 2759680.

The previous prime is 5864029. The next prime is 5864063. The reversal of 5864032 is 2304685.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65844 + ... + 65932.

It is an arithmetic number, because the mean of its divisors is an integer number (255150).

Almost surely, 25864032 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 5864032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6123600).

5864032 is an abundant number, since it is smaller than the sum of its proper divisors (6383168).

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

5864032 is a wasteful number, since it uses less digits than its factorization.

5864032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 5864032 is about 2421.5763461019. The cubic root of 5864032 is about 180.3289458181.

The spelling of 5864032 in words is "five million, eight hundred sixty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 29 32 58 71 89 116 142 178 232 284 356 464 568 712 928 1136 1424 2059 2272 2581 2848 4118 5162 6319 8236 10324 12638 16472 20648 25276 32944 41296 50552 65888 82592 101104 183251 202208 366502 733004 1466008 2932016 5864032