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509050893 = 31313052587
BaseRepresentation
bin11110010101111…
…000000000001101
31022110212110112210
4132111320000031
52020304112033
6122302421033
715420601251
oct3625700015
91273773483
10509050893
1124138951a
12122591779
1381603960
144b870261
152ea54d63
hex1e57800d

509050893 has 8 divisors (see below), whose sum is σ = 730944928. Its totient is φ = 313262064.

The previous prime is 509050877. The next prime is 509050909. The reversal of 509050893 is 398050905.

It is an interprime number because it is at equal distance from previous prime (509050877) and next prime (509050909).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 509050893 - 24 = 509050877 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39), and also a Moran number because the ratio is a prime number: 13052587 = 509050893 / (5 + 0 + 9 + 0 + 5 + 0 + 8 + 9 + 3).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509050853) 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 7 ways as a sum of consecutive naturals, for example, 6526255 + ... + 6526332.

It is an arithmetic number, because the mean of its divisors is an integer number (91368116).

Almost surely, 2509050893 is an apocalyptic number.

It is an amenable number.

509050893 is a deficient number, since it is larger than the sum of its proper divisors (221894035).

509050893 is a wasteful number, since it uses less digits than its factorization.

509050893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13052603.

The product of its (nonzero) digits is 48600, while the sum is 39.

The square root of 509050893 is about 22562.1562134473. The cubic root of 509050893 is about 798.4610482034.

The spelling of 509050893 in words is "five hundred nine million, fifty thousand, eight hundred ninety-three".

Divisors: 1 3 13 39 13052587 39157761 169683631 509050893