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556488 = 233259131
BaseRepresentation
bin10000111110111001000
31001021100200
42013313020
5120301423
615532200
74505262
oct2076710
91037320
10556488
11350109
1222a060
131663aa
14106b32
15aed43
hex87dc8

556488 has 48 divisors (see below), whose sum is σ = 1544400. Its totient is φ = 180960.

The previous prime is 556487. The next prime is 556513. The reversal of 556488 is 884655.

It is a happy number.

556488 is a `hidden beast` number, since 5 + 5 + 648 + 8 = 666.

556488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×5564883 = 516997765333218816, which contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (556483) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4183 + ... + 4313.

It is an arithmetic number, because the mean of its divisors is an integer number (32175).

2556488 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 556488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772200).

556488 is an abundant number, since it is smaller than the sum of its proper divisors (987912).

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

556488 is a wasteful number, since it uses less digits than its factorization.

556488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 195 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 556488 is about 745.9812330079. The cubic root of 556488 is about 82.2530355522.

The spelling of 556488 in words is "five hundred fifty-six thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 131 177 236 262 354 393 472 524 531 708 786 1048 1062 1179 1416 1572 2124 2358 3144 4248 4716 7729 9432 15458 23187 30916 46374 61832 69561 92748 139122 185496 278244 556488