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5760648 = 2332194211
BaseRepresentation
bin10101111110011010001000
3101211200010100
4111332122020
52433320043
6323245400
766651615
oct25763210
911750110
105760648
113285073
121b19860
13126908a
14a9d50c
1578bcd3
hex57e688

5760648 has 48 divisors (see below), whose sum is σ = 16426800. Its totient is φ = 1818720.

The previous prime is 5760631. The next prime is 5760659. The reversal of 5760648 is 8460675.

It is a happy number.

5760648 is a `hidden beast` number, since 5 + 7 + 6 + 0 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

5760648 is a modest number, since divided by 648 gives 576 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 738 + ... + 3473.

It is an arithmetic number, because the mean of its divisors is an integer number (342225).

Almost surely, 25760648 is an apocalyptic number.

It is an amenable number.

5760648 is an abundant number, since it is smaller than the sum of its proper divisors (10666152).

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

5760648 is a wasteful number, since it uses less digits than its factorization.

5760648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4242 (or 4235 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5760648 is about 2400.1349962033. The cubic root of 5760648 is about 179.2629117173.

The spelling of 5760648 in words is "five million, seven hundred sixty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 4211 8422 12633 16844 25266 33688 37899 50532 75798 80009 101064 151596 160018 240027 303192 320036 480054 640072 720081 960108 1440162 1920216 2880324 5760648