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465256 = 231117311
BaseRepresentation
bin1110001100101101000
3212122012201
41301211220
5104342011
613545544
73645301
oct1614550
9778181
10465256
11298610
121a52b4
131339cc
14c17a8
1592cc1
hex71968

465256 has 32 divisors (see below), whose sum is σ = 1010880. Its totient is φ = 198400.

The previous prime is 465211. The next prime is 465259. The reversal of 465256 is 652564.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (465259) 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, 1341 + ... + 1651.

It is an arithmetic number, because the mean of its divisors is an integer number (31590).

2465256 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 465256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505440).

465256 is an abundant number, since it is smaller than the sum of its proper divisors (545624).

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

465256 is a wasteful number, since it uses less digits than its factorization.

465256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 341 counting only the distinct ones).

The product of its digits is 7200, while the sum is 28.

The square root of 465256 is about 682.0967673285. The cubic root of 465256 is about 77.4873236291.

The spelling of 465256 in words is "four hundred sixty-five thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 311 374 622 748 1244 1496 2488 3421 5287 6842 10574 13684 21148 27368 42296 58157 116314 232628 465256