Search a number
-
+
505256040 = 233251403489
BaseRepresentation
bin11110000111011…
…001100001101000
31022012201122222200
4132013121201220
52013321143130
6122045220200
715343414452
oct3607314150
91265648880
10505256040
1123a227383
12121261660
13808a5593
144b1632d2
152e555760
hex1e1d9868

505256040 has 48 divisors (see below), whose sum is σ = 1642083300. Its totient is φ = 134734848.

The previous prime is 505256039. The next prime is 505256041. The reversal of 505256040 is 40652505.

505256040 is a `hidden beast` number, since 5 + 0 + 52 + 5 + 604 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (505256039) and next prime (505256041).

It can be written as a sum of positive squares in 2 ways, for example, as 487261476 + 17994564 = 22074^2 + 4242^2 .

It is a junction number, because it is equal to n+sod(n) for n = 505255995 and 505256013.

It is not an unprimeable number, because it can be changed into a prime (505256041) 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, 701385 + ... + 702104.

Almost surely, 2505256040 is an apocalyptic number.

It is an amenable number.

505256040 is an abundant number, since it is smaller than the sum of its proper divisors (1136827260).

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

505256040 is a wasteful number, since it uses less digits than its factorization.

505256040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403506 (or 1403499 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 505256040 is about 22477.9011475716. The cubic root of 505256040 is about 796.4719850931.

It can be divided in two parts, 50525 and 6040, that added together give a palindrome (56565).

The spelling of 505256040 in words is "five hundred five million, two hundred fifty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1403489 2806978 4210467 5613956 7017445 8420934 11227912 12631401 14034890 16841868 21052335 25262802 28069780 33683736 42104670 50525604 56139560 63157005 84209340 101051208 126314010 168418680 252628020 505256040