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5408032 = 25723449
BaseRepresentation
bin10100101000010100100000
3101011202102111
4110220110200
52341024112
6311525104
763652600
oct24502440
911152374
105408032
113064153
121989794
131174726
14a0ac00
1571c5a7
hex528520

5408032 has 36 divisors (see below), whose sum is σ = 12388950. Its totient is φ = 2317056.

The previous prime is 5408021. The next prime is 5408047. The reversal of 5408032 is 2308045.

It can be written as a sum of positive squares in only one way, i.e., 5400976 + 7056 = 2324^2 + 84^2 .

It is a super-2 number, since 2×54080322 = 58493620226048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5407994 and 5408012.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 157 + ... + 3292.

Almost surely, 25408032 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 5408032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6194475).

5408032 is an abundant number, since it is smaller than the sum of its proper divisors (6980918).

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

5408032 is a wasteful number, since it uses less digits than its factorization.

5408032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3473 (or 3458 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 5408032 is about 2325.5175767988. The cubic root of 5408032 is about 175.5280053143.

The spelling of 5408032 in words is "five million, four hundred eight thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 3449 6898 13796 24143 27592 48286 55184 96572 110368 169001 193144 338002 386288 676004 772576 1352008 2704016 5408032