Search a number
-
+
556632 = 2334859
BaseRepresentation
bin10000111111001011000
31001021120000
42013321120
5120303012
615533000
74505556
oct2077130
91037500
10556632
1135022a
1222a160
1316648b
14106bd6
15aeddc
hex87e58

556632 has 40 divisors (see below), whose sum is σ = 1560900. Its totient is φ = 185328.

The previous prime is 556627. The next prime is 556639. The reversal of 556632 is 236655.

556632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 556596 and 556605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556639) by changing a digit.

556632 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 219 + ... + 1077.

2556632 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 556632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780450).

556632 is an abundant number, since it is smaller than the sum of its proper divisors (1004268).

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

556632 is a wasteful number, since it uses less digits than its factorization.

556632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 864 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 556632 is about 746.0777439383. The cubic root of 556632 is about 82.2601296948.

The spelling of 556632 in words is "five hundred fifty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 859 1718 2577 3436 5154 6872 7731 10308 15462 20616 23193 30924 46386 61848 69579 92772 139158 185544 278316 556632