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5432688 = 2432311217
BaseRepresentation
bin10100101110010101110000
3101020000020200
4110232111300
52342321223
6312235200
764114512
oct24562560
911200220
105432688
113080728
12199bb00
131182a11
14a15bb2
15724a43
hex52e570

5432688 has 60 divisors (see below), whose sum is σ = 15707328. Its totient is φ = 1751040.

The previous prime is 5432681. The next prime is 5432699. The reversal of 5432688 is 8862345.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5432681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3856 + ... + 5072.

Almost surely, 25432688 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 5432688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7853664).

5432688 is an abundant number, since it is smaller than the sum of its proper divisors (10274640).

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

5432688 is a wasteful number, since it uses less digits than its factorization.

5432688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1253 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 5432688 is about 2330.8127337905. The cubic root of 5432688 is about 175.7943534706.

The spelling of 5432688 in words is "five million, four hundred thirty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1217 1488 2232 2434 3651 4464 4868 7302 9736 10953 14604 19472 21906 29208 37727 43812 58416 75454 87624 113181 150908 175248 226362 301816 339543 452724 603632 679086 905448 1358172 1810896 2716344 5432688