Search a number
-
+
485568 = 2633281
BaseRepresentation
bin1110110100011000000
3220200002000
41312203000
5111014233
614224000
74061436
oct1664300
9820060
10485568
113018a6
121b5000
13140025
14c8d56
1598d13
hex768c0

485568 has 56 divisors (see below), whose sum is σ = 1432560. Its totient is φ = 161280.

The previous prime is 485567. The next prime is 485587. The reversal of 485568 is 865584.

It is a happy number.

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 (485567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1588 + ... + 1868.

2485568 is an apocalyptic number.

485568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716280).

485568 is an abundant number, since it is smaller than the sum of its proper divisors (946992).

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

485568 is a wasteful number, since it uses less digits than its factorization.

485568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 286 counting only the distinct ones).

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

The square root of 485568 is about 696.8270947660. The cubic root of 485568 is about 78.5989394414.

The spelling of 485568 in words is "four hundred eighty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 281 288 432 562 576 843 864 1124 1686 1728 2248 2529 3372 4496 5058 6744 7587 8992 10116 13488 15174 17984 20232 26976 30348 40464 53952 60696 80928 121392 161856 242784 485568