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5932048 = 2417113193
BaseRepresentation
bin10110101000010000010000
3102011101020111
4112220100100
53004311143
6331051104
7101264413
oct26502020
912141214
105932048
113391921
121ba0a94
1312c90b5
14b05b7a
157c299d
hex5a8410

5932048 has 40 divisors (see below), whose sum is σ = 12340728. Its totient is φ = 2752512.

The previous prime is 5932027. The next prime is 5932049. The reversal of 5932048 is 8402395.

It can be written as a sum of positive squares in 4 ways, for example, as 36864 + 5895184 = 192^2 + 2428^2 .

It is not an unprimeable number, because it can be changed into a prime (5932049) 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, 30640 + ... + 30832.

Almost surely, 25932048 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 5932048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6170364).

5932048 is an abundant number, since it is smaller than the sum of its proper divisors (6408680).

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

5932048 is a wasteful number, since it uses less digits than its factorization.

5932048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 5932048 is about 2435.5796024766. The cubic root of 5932048 is about 181.0234699885.

The spelling of 5932048 in words is "five million, nine hundred thirty-two thousand, forty-eight".

Divisors: 1 2 4 8 16 17 34 68 113 136 193 226 272 386 452 772 904 1544 1808 1921 3088 3281 3842 6562 7684 13124 15368 21809 26248 30736 43618 52496 87236 174472 348944 370753 741506 1483012 2966024 5932048