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496621242 = 2321310121013
BaseRepresentation
bin11101100110011…
…101011010111010
31021121110222021100
4131212131122322
52004113334432
6121140152230
715210132225
oct3546353272
91247428240
10496621242
11235369987
1211a398676
137bb71230
1449d565bc
152d8ec07c
hex1d99d6ba

496621242 has 48 divisors (see below), whose sum is σ = 1170311688. Its totient is φ = 151286400.

The previous prime is 496621241. The next prime is 496621243. The reversal of 496621242 is 242126694.

496621242 is a `hidden beast` number, since 4 + 9 + 6 + 621 + 24 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (496621241) and next prime (496621243).

It can be written as a sum of positive squares in 4 ways, for example, as 298909521 + 197711721 = 17289^2 + 14061^2 .

It is a junction number, because it is equal to n+sod(n) for n = 496621197 and 496621206.

It is not an unprimeable number, because it can be changed into a prime (496621241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13128 + ... + 34140.

Almost surely, 2496621242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496621242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585155844).

496621242 is an abundant number, since it is smaller than the sum of its proper divisors (673690446).

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

496621242 is a wasteful number, since it uses less digits than its factorization.

496621242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21135 (or 21132 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 496621242 is about 22285.0003814225. Note that the first 3 decimals coincide. The cubic root of 496621242 is about 791.9086690674.

The spelling of 496621242 in words is "four hundred ninety-six million, six hundred twenty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 101 117 202 234 303 606 909 1313 1818 2626 3939 7878 11817 21013 23634 42026 63039 126078 189117 273169 378234 546338 819507 1639014 2122313 2458521 4244626 4917042 6366939 12733878 19100817 27590069 38201634 55180138 82770207 165540414 248310621 496621242