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496296 = 233261113
BaseRepresentation
bin1111001001010101000
3221012210100
41321022220
5111340141
614345400
74134633
oct1711250
9835710
10496296
11309969
121bb260
13144b88
14ccc1a
159c0b6
hex792a8

496296 has 48 divisors (see below), whose sum is σ = 1378260. Its totient is φ = 161280.

The previous prime is 496291. The next prime is 496297. The reversal of 496296 is 692694.

496296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 324900 + 171396 = 570^2 + 414^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 496296.

It is not an unprimeable number, because it can be changed into a prime (496291) 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, 4336 + ... + 4448.

2496296 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 496296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689130).

496296 is an abundant number, since it is smaller than the sum of its proper divisors (881964).

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

496296 is a wasteful number, since it uses less digits than its factorization.

496296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 179 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 496296 is about 704.4827890020. The cubic root of 496296 is about 79.1735755128.

The spelling of 496296 in words is "four hundred ninety-six thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 113 122 183 226 244 339 366 452 488 549 678 732 904 1017 1098 1356 1464 2034 2196 2712 4068 4392 6893 8136 13786 20679 27572 41358 55144 62037 82716 124074 165432 248148 496296