Search a number
-
+
412056 = 23325997
BaseRepresentation
bin1100100100110011000
3202221020100
41210212120
5101141211
612455400
73334221
oct1444630
9687210
10412056
11261647
1217a560
13115728
14aa248
1582156
hex64998

412056 has 48 divisors (see below), whose sum is σ = 1146600. Its totient is φ = 133632.

The previous prime is 412051. The next prime is 412067. The reversal of 412056 is 650214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 412056.

It is not an unprimeable number, because it can be changed into a prime (412051) 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, 4200 + ... + 4296.

2412056 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 412056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573300).

412056 is an abundant number, since it is smaller than the sum of its proper divisors (734544).

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

412056 is a wasteful number, since it uses less digits than its factorization.

412056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 412056 is about 641.9158823397. The cubic root of 412056 is about 74.4135597900.

The spelling of 412056 in words is "four hundred twelve thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 97 118 177 194 236 291 354 388 472 531 582 708 776 873 1062 1164 1416 1746 2124 2328 3492 4248 5723 6984 11446 17169 22892 34338 45784 51507 68676 103014 137352 206028 412056