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503905842 = 232113736823
BaseRepresentation
bin11110000010001…
…111111000110010
31022010012001212100
4132002033320302
52012444441332
6122000241230
715326062146
oct3602177062
91263161770
10503905842
11239494a10
12120910216
1380521b4b
144acd1226
152e38a67c
hex1e08fe32

503905842 has 48 divisors (see below), whose sum is σ = 1194418368. Its totient is φ = 152267040.

The previous prime is 503905817. The next prime is 503905889. The reversal of 503905842 is 248509305.

It is a junction number, because it is equal to n+sod(n) for n = 503905797 and 503905806.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70443 + ... + 77265.

It is an arithmetic number, because the mean of its divisors is an integer number (24883716).

Almost surely, 2503905842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 503905842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597209184).

503905842 is an abundant number, since it is smaller than the sum of its proper divisors (690512526).

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

503905842 is a wasteful number, since it uses less digits than its factorization.

503905842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7215 (or 7212 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 503905842 is about 22447.8471573556. The cubic root of 503905842 is about 795.7618802826.

The spelling of 503905842 in words is "five hundred three million, nine hundred five thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 373 746 1119 2238 3357 4103 6714 6823 8206 12309 13646 20469 24618 36927 40938 61407 73854 75053 122814 150106 225159 450318 675477 1350954 2544979 5089958 7634937 15269874 22904811 27994769 45809622 55989538 83984307 167968614 251952921 503905842