Search a number
-
+
556081152 = 213311317
BaseRepresentation
bin100001001001010…
…010000000000000
31102202100211221020
4201021102000000
52114324044102
6131102425440
716531416564
oct4111220000
91382324836
10556081152
11265991000
12136292280
138b28c403
1453bd36a4
1533c44bbc
hex21252000

556081152 has 224 divisors, whose sum is σ = 1726899264. Its totient is φ = 158597120.

The previous prime is 556081139. The next prime is 556081153. The reversal of 556081152 is 251180655.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556081153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32710648 + ... + 32710664.

Almost surely, 2556081152 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 556081152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863449632).

556081152 is an abundant number, since it is smaller than the sum of its proper divisors (1170818112).

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

556081152 is an equidigital number, since it uses as much as digits as its factorization.

556081152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 33.

The square root of 556081152 is about 23581.3729880175. The cubic root of 556081152 is about 822.3298561905.

The spelling of 556081152 in words is "five hundred fifty-six million, eighty-one thousand, one hundred fifty-two".