Search a number
-
+
45399360 = 2635192131
BaseRepresentation
bin1010110100101…
…1110101000000
310011102112012210
42231023311000
543110234420
64301022120
71060613436
oct255136500
9104375183
1045399360
1123699236
1213254940
139537336
14605ad56
153ebb9e0
hex2b4bd40

45399360 has 168 divisors, whose sum is σ = 153290016. Its totient is φ = 11381760.

The previous prime is 45399353. The next prime is 45399371. The reversal of 45399360 is 6399354.

It is a super-2 number, since 2×453993602 = 4122203776819200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346495 + ... + 346625.

Almost surely, 245399360 is an apocalyptic number.

45399360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76645008).

45399360 is an abundant number, since it is smaller than the sum of its proper divisors (107890656).

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

45399360 is a wasteful number, since it uses less digits than its factorization.

45399360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 39.

The square root of 45399360 is about 6737.9047188277. The cubic root of 45399360 is about 356.7384411216.

The spelling of 45399360 in words is "forty-five million, three hundred ninety-nine thousand, three hundred sixty".