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432255056 = 24176723719
BaseRepresentation
bin11001110000111…
…011000001010000
31010010100211110112
4121300323001100
51341124130211
6110520420452
713466051552
oct3160730120
91103324415
10432255056
11201aa6692
12100917728
136b725b2c
144159d4d2
1527e3588b
hex19c3b050

432255056 has 40 divisors (see below), whose sum is σ = 900031680. Its totient is φ = 200369664.

The previous prime is 432255011. The next prime is 432255059. The reversal of 432255056 is 650552234.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432255059) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6365 + ... + 30083.

It is an arithmetic number, because the mean of its divisors is an integer number (22500792).

Almost surely, 2432255056 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 432255056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450015840).

432255056 is an abundant number, since it is smaller than the sum of its proper divisors (467776624).

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

432255056 is a wasteful number, since it uses less digits than its factorization.

432255056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23811 (or 23805 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The square root of 432255056 is about 20790.7444792148. The cubic root of 432255056 is about 756.1013740117.

The spelling of 432255056 in words is "four hundred thirty-two million, two hundred fifty-five thousand, fifty-six".

Divisors: 1 2 4 8 16 17 34 67 68 134 136 268 272 536 1072 1139 2278 4556 9112 18224 23719 47438 94876 189752 379504 403223 806446 1589173 1612892 3178346 3225784 6356692 6451568 12713384 25426768 27015941 54031882 108063764 216127528 432255056