Search a number
-
+
627991056 = 243472112931
BaseRepresentation
bin100101011011100…
…110001000010000
31121202200020210000
4211123212020100
52241231203211
6142152010000
721363556500
oct4533461020
91552606700
10627991056
112a2536a80
12156390900
13a0149354
145d591a00
153a1eb656
hex256e6210

627991056 has 600 divisors, whose sum is σ = 2463056640. Its totient is φ = 152409600.

The previous prime is 627991043. The next prime is 627991061. The reversal of 627991056 is 650199726.

It is a happy number.

627991056 is a `hidden beast` number, since 627 + 9 + 9 + 10 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 20257761 + ... + 20257791.

Almost surely, 2627991056 is an apocalyptic number.

627991056 is a gapful number since it is divisible by the number (66) 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 627991056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231528320).

627991056 is an abundant number, since it is smaller than the sum of its proper divisors (1835065584).

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

627991056 is a wasteful number, since it uses less digits than its factorization.

627991056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 627991056 is about 25059.7497194206. The cubic root of 627991056 is about 856.3497057176.

The spelling of 627991056 in words is "six hundred twenty-seven million, nine hundred ninety-one thousand, fifty-six".