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5456032 = 25533217
BaseRepresentation
bin10100110100000010100000
3101021012021021
4110310002200
52344043112
6312535224
764242541
oct24640240
911235237
105456032
11309721a
1219b1514
13119052a
14a204c8
1572b907
hex5340a0

5456032 has 24 divisors (see below), whose sum is σ = 10947636. Its totient is φ = 2675712.

The previous prime is 5456027. The next prime is 5456039. The reversal of 5456032 is 2306545.

It can be written as a sum of positive squares in 2 ways, for example, as 4822416 + 633616 = 2196^2 + 796^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5455988 and 5456006.

It is not an unprimeable number, because it can be changed into a prime (5456039) 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 3 ways as a sum of consecutive naturals, for example, 88 + ... + 3304.

Almost surely, 25456032 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 5456032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5473818).

5456032 is an abundant number, since it is smaller than the sum of its proper divisors (5491604).

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

5456032 is a wasteful number, since it uses less digits than its factorization.

5456032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3280 (or 3272 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 5456032 is about 2335.8150611724. The cubic root of 5456032 is about 176.0457869854.

The spelling of 5456032 in words is "five million, four hundred fifty-six thousand, thirty-two".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 1696 3217 6434 12868 25736 51472 102944 170501 341002 682004 1364008 2728016 5456032