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45424 = 2417167
BaseRepresentation
bin1011000101110000
32022022101
423011300
52423144
6550144
7246301
oct130560
968271
1045424
1131145
1222354
13178a2
14127a8
15d6d4
hexb170

45424 has 20 divisors (see below), whose sum is σ = 93744. Its totient is φ = 21248.

The previous prime is 45413. The next prime is 45427. The reversal of 45424 is 42454.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45427) 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, 189 + ... + 355.

245424 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 45424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46872).

45424 is an abundant number, since it is smaller than the sum of its proper divisors (48320).

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

45424 is a wasteful number, since it uses less digits than its factorization.

45424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 186 counting only the distinct ones).

The product of its digits is 640, while the sum is 19.

The square root of 45424 is about 213.1290688761. The cubic root of 45424 is about 35.6802968062.

Adding to 45424 its product of digits (640), we get a palindrome (46064).

Adding to 45424 its reverse (42454), we get a palindrome (87878).

The spelling of 45424 in words is "forty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 68 136 167 272 334 668 1336 2672 2839 5678 11356 22712 45424