Search a number
-
+
556026912 = 25327231241
BaseRepresentation
bin100001001001000…
…100110000100000
31102202021002112100
4201021010300200
52114320330122
6131101330400
716531102500
oct4111046040
91382232470
10556026912
11265954281
12136266a00
138b27080c
1453bbba00
1533c33aac
hex21244c20

556026912 has 324 divisors, whose sum is σ = 1946961198. Its totient is φ = 149990400.

The previous prime is 556026899. The next prime is 556026923. The reversal of 556026912 is 219620655.

556026912 is a `hidden beast` number, since 5 + 560 + 2 + 6 + 91 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 549246096 + 6780816 = 23436^2 + 2604^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 13561612 + ... + 13561652.

Almost surely, 2556026912 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 556026912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973480599).

556026912 is an abundant number, since it is smaller than the sum of its proper divisors (1390934286).

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

556026912 is a wasteful number, since it uses less digits than its factorization.

556026912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 556026912 is about 23580.2228997098. Note that the first 3 decimals coincide. The cubic root of 556026912 is about 822.3031187131.

The spelling of 556026912 in words is "five hundred fifty-six million, twenty-six thousand, nine hundred twelve".