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507581393 = 11172159667
BaseRepresentation
bin11110010000010…
…001001111010001
31022101002210202212
4132100101033101
52014420101033
6122211121505
715402241064
oct3620211721
91271083685
10507581393
11240575460
12121ba3295
138120ab27
144b5aa8db
152e864748
hex1e4113d1

507581393 has 12 divisors (see below), whose sum is σ = 588216912. Its totient is φ = 434291520.

The previous prime is 507581363. The next prime is 507581407. The reversal of 507581393 is 393185705.

It is a happy number.

It is not a de Polignac number, because 507581393 - 216 = 507515857 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 507581393.

It is not an unprimeable number, because it can be changed into a prime (507581323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76655 + ... + 83012.

It is an arithmetic number, because the mean of its divisors is an integer number (49018076).

Almost surely, 2507581393 is an apocalyptic number.

It is an amenable number.

507581393 is a deficient number, since it is larger than the sum of its proper divisors (80635519).

507581393 is a wasteful number, since it uses less digits than its factorization.

507581393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159712 (or 159695 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 41.

The square root of 507581393 is about 22529.5670841674. The cubic root of 507581393 is about 797.6919899529.

It can be divided in two parts, 5075 and 81393, that added together give a palindrome (86468).

The spelling of 507581393 in words is "five hundred seven million, five hundred eighty-one thousand, three hundred ninety-three".

Divisors: 1 11 17 187 289 3179 159667 1756337 2714339 29857729 46143763 507581393