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5580832 = 251967137
BaseRepresentation
bin10101010010100000100000
3101111112110111
4111102200200
52412041312
6315341104
765302435
oct25224040
911445414
105580832
113171a64
121a51794
13120528a
14a53b8c
157538a7
hex552820

5580832 has 48 divisors (see below), whose sum is σ = 11823840. Its totient is φ = 2585088.

The previous prime is 5580791. The next prime is 5580833. The reversal of 5580832 is 2380855.

It is a super-2 number, since 2×55808322 = 62291371624448, which contains 22 as substring.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5580794 and 5580803.

It is not an unprimeable number, because it can be changed into a prime (5580833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40668 + ... + 40804.

It is an arithmetic number, because the mean of its divisors is an integer number (246330).

Almost surely, 25580832 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 5580832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5911920).

5580832 is an abundant number, since it is smaller than the sum of its proper divisors (6243008).

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

5580832 is a wasteful number, since it uses less digits than its factorization.

5580832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 5580832 is about 2362.3784624823. The cubic root of 5580832 is about 177.3779575012.

The spelling of 5580832 in words is "five million, five hundred eighty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 67 76 134 137 152 268 274 304 536 548 608 1072 1096 1273 2144 2192 2546 2603 4384 5092 5206 9179 10184 10412 18358 20368 20824 36716 40736 41648 73432 83296 146864 174401 293728 348802 697604 1395208 2790416 5580832