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45432 = 2332631
BaseRepresentation
bin1011000101111000
32022022200
423011320
52423212
6550200
7246312
oct130570
968280
1045432
1131152
1222360
13178aa
14127b2
15d6dc
hexb178

45432 has 24 divisors (see below), whose sum is σ = 123240. Its totient is φ = 15120.

The previous prime is 45427. The next prime is 45433. The reversal of 45432 is 23454.

It is a happy number.

45432 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

45432 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45433) 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, 244 + ... + 387.

It is an arithmetic number, because the mean of its divisors is an integer number (5135).

245432 is an apocalyptic number.

It is an amenable number.

45432 is an abundant number, since it is smaller than the sum of its proper divisors (77808).

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

45432 is a wasteful number, since it uses less digits than its factorization.

45432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 636 counting only the distinct ones).

The product of its digits is 480, while the sum is 18.

The square root of 45432 is about 213.1478360200. The cubic root of 45432 is about 35.6823913350.

Adding to 45432 its reverse (23454), we get a palindrome (68886).

The spelling of 45432 in words is "forty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 631 1262 1893 2524 3786 5048 5679 7572 11358 15144 22716 45432