Search a number
-
+
45612400 = 2452114031
BaseRepresentation
bin1010110111111…
…1110101110000
310011211100110011
42231333311300
543134044100
64305344304
71062461521
oct255776560
9104740404
1045612400
11238242a9
1213338094
1395b02b2
1460b4848
15400ebba
hex2b7fd70

45612400 has 30 divisors (see below), whose sum is σ = 109584752. Its totient is φ = 18244800.

The previous prime is 45612397. The next prime is 45612421. The reversal of 45612400 is 421654.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56616 + ... + 57415.

Almost surely, 245612400 is an apocalyptic number.

45612400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45612400 is an abundant number, since it is smaller than the sum of its proper divisors (63972352).

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

45612400 is a wasteful number, since it uses less digits than its factorization.

45612400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114049 (or 114038 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 45612400 is about 6753.6952848052. The cubic root of 45612400 is about 357.2955781129.

The spelling of 45612400 in words is "forty-five million, six hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 114031 228062 456124 570155 912248 1140310 1824496 2280620 2850775 4561240 5701550 9122480 11403100 22806200 45612400