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5752832 = 211532
BaseRepresentation
bin10101111100100000000000
3101211021101212
4111330200000
52433042312
6323145252
766620051
oct25744000
911737355
105752832
11327a208
121b15228
131265657
14a9a728
15789822
hex57c800

5752832 has 36 divisors (see below), whose sum is σ = 11723985. Its totient is φ = 2822144.

The previous prime is 5752823. The next prime is 5752853. The reversal of 5752832 is 2382575.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 5456896 + 295936 = 2336^2 + 544^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1696.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 108518 + ... + 108570.

Almost surely, 25752832 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 5752832

5752832 is an abundant number, since it is smaller than the sum of its proper divisors (5971153).

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

5752832 is an frugal number, since it uses more digits than its factorization.

5752832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 55 counting only the distinct ones).

The product of its digits is 16800, while the sum is 32.

The square root of 5752832 is about 2398.5062017848. The cubic root of 5752832 is about 179.1818008729.

Multiplying 5752832 by its sum of digits (32), we get a square (184090624 = 135682).

5752832 divided by its sum of digits (32) gives a square (179776 = 4242).

The spelling of 5752832 in words is "five million, seven hundred fifty-two thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 512 848 1024 1696 2048 2809 3392 5618 6784 11236 13568 22472 27136 44944 54272 89888 108544 179776 359552 719104 1438208 2876416 5752832