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496131076 = 2272372432
BaseRepresentation
bin11101100100100…
…101110000000100
31021120120001220001
4131210211300010
52004002143301
6121121451044
715203021200
oct3544456004
91246501801
10496131076
11235064691
1211a1a0a84
137ba2c0ac
1449c69b00
152d851c01
hex1d925c04

496131076 has 81 divisors (see below), whose sum is σ = 1062716949. Its totient is φ = 202069728.

The previous prime is 496131017. The next prime is 496131109. The reversal of 496131076 is 670131694.

The square root of 496131076 is 22274.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 443944900 + 52186176 = 21070^2 + 7224^2 .

It is a super-2 number, since 2×4961310762 = 492292089145835552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11537911 + ... + 11537953.

Almost surely, 2496131076 is an apocalyptic number.

496131076 is the 22274-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496131076

496131076 is an abundant number, since it is smaller than the sum of its proper divisors (566585873).

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

496131076 is a wasteful number, since it uses less digits than its factorization.

496131076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The cubic root of 496131076 is about 791.6480449076.

The spelling of 496131076 in words is "four hundred ninety-six million, one hundred thirty-one thousand, seventy-six".

Divisors: 1 2 4 7 14 28 37 43 49 74 86 98 148 172 196 259 301 518 602 1036 1204 1369 1591 1813 1849 2107 2738 3182 3626 3698 4214 5476 6364 7252 7396 8428 9583 11137 12943 19166 22274 25886 38332 44548 51772 58867 67081 68413 77959 90601 117734 134162 136826 155918 181202 235468 268324 273652 311836 362404 412069 478891 824138 957782 1648276 1915564 2531281 2884483 3352237 5062562 5768966 6704474 10125124 11537932 13408948 17718967 35437934 70875868 124032769 248065538 496131076