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556661952 = 263272112163
BaseRepresentation
bin100001001011011…
…111110011000000
31102210110100122100
4201023133303000
52120001140302
6131123110400
716536356100
oct4113376300
91383410570
10556661952
11266248400
12136512400
138b433892
1453d05200
1533d0bd1c
hex212dfcc0

556661952 has 378 divisors, whose sum is σ = 2052661884. Its totient is φ = 143700480.

The previous prime is 556661891. The next prime is 556661971. The reversal of 556661952 is 259166655.

It is a junction number, because it is equal to n+sod(n) for n = 556661898 and 556661907.

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, 3415023 + ... + 3415185.

Almost surely, 2556661952 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 556661952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026330942).

556661952 is an abundant number, since it is smaller than the sum of its proper divisors (1495999932).

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

556661952 is a wasteful number, since it uses less digits than its factorization.

556661952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 186 counting only the distinct ones).

The product of its digits is 486000, while the sum is 45.

The square root of 556661952 is about 23593.6845787172. The cubic root of 556661952 is about 822.6160512271.

The spelling of 556661952 in words is "five hundred fifty-six million, six hundred sixty-one thousand, nine hundred fifty-two".