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5872032 = 253220389
BaseRepresentation
bin10110011001100110100000
3102001022220200
4112121212200
53000401112
6325505200
7100624425
oct26314640
912038820
105872032
113350821
121b72200
1312a799a
14acbd4c
157aecdc
hex5999a0

5872032 has 36 divisors (see below), whose sum is σ = 16699410. Its totient is φ = 1957248.

The previous prime is 5872019. The next prime is 5872033. The reversal of 5872032 is 2302785.

It can be written as a sum of positive squares in only one way, i.e., 3549456 + 2322576 = 1884^2 + 1524^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5871987 and 5872005.

It is not an unprimeable number, because it can be changed into a prime (5872033) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9907 + ... + 10482.

Almost surely, 25872032 is an apocalyptic number.

It is an amenable number.

5872032 is an abundant number, since it is smaller than the sum of its proper divisors (10827378).

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

5872032 is a wasteful number, since it uses less digits than its factorization.

5872032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20405 (or 20394 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5872032 is about 2423.2275997108. The cubic root of 5872032 is about 180.4109130849.

The spelling of 5872032 in words is "five million, eight hundred seventy-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 20389 40778 61167 81556 122334 163112 183501 244668 326224 367002 489336 652448 734004 978672 1468008 1957344 2936016 5872032