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5856032 = 257132011
BaseRepresentation
bin10110010101101100100000
3102000111222002
4112111230200
52444343112
6325303132
7100526660
oct26255440
912014862
105856032
11333a7a6
121b64aa8
1312a0610
14ac61a0
157aa1c2
hex595b20

5856032 has 48 divisors (see below), whose sum is σ = 14196672. Its totient is φ = 2315520.

The previous prime is 5856029. The next prime is 5856043. The reversal of 5856032 is 2306585.

It is a super-2 number, since 2×58560322 = 68586221570048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5855986 and 5856004.

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, 1907 + ... + 3917.

It is an arithmetic number, because the mean of its divisors is an integer number (295764).

Almost surely, 25856032 is an apocalyptic number.

5856032 is a gapful number since it is divisible by the number (52) 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 5856032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7098336).

5856032 is an abundant number, since it is smaller than the sum of its proper divisors (8340640).

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

5856032 is a wasteful number, since it uses less digits than its factorization.

5856032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 5856032 is about 2419.9239657477. The cubic root of 5856032 is about 180.2469039681.

The spelling of 5856032 in words is "five million, eight hundred fifty-six thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2011 2912 4022 8044 14077 16088 26143 28154 32176 52286 56308 64352 104572 112616 183001 209144 225232 366002 418288 450464 732004 836576 1464008 2928016 5856032