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45468 = 2233421
BaseRepresentation
bin1011000110011100
32022101000
423012130
52423333
6550300
7246363
oct130634
968330
1045468
1131185
1222390
1317907
14127da
15d713
hexb19c

45468 has 24 divisors (see below), whose sum is σ = 118160. Its totient is φ = 15120.

The previous prime is 45439. The next prime is 45481. The reversal of 45468 is 86454.

45468 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103 + ... + 318.

245468 is an apocalyptic number.

It is an amenable number.

45468 is an abundant number, since it is smaller than the sum of its proper divisors (72692).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59080).

45468 is a wasteful number, since it uses less digits than its factorization.

45468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 426 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 45468 is about 213.2322677270. The cubic root of 45468 is about 35.6918136727.

It can be divided in two parts, 4546 and 8, that added together give a palindrome (4554).

The spelling of 45468 in words is "forty-five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 421 842 1263 1684 2526 3789 5052 7578 11367 15156 22734 45468