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504045414 = 2321923139461
BaseRepresentation
bin11110000010110…
…001111101100110
31022010110011022200
4132002301331212
52013013423124
6122003235330
715330213105
oct3602617546
91263404280
10504045414
1123957a864
12120978b46
1380570532
144ad2a03c
152e3b6bc9
hex1e0b1f66

504045414 has 96 divisors (see below), whose sum is σ = 1210809600. Its totient is φ = 150828480.

The previous prime is 504045403. The next prime is 504045439. The reversal of 504045414 is 414540405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1093144 + ... + 1093604.

It is an arithmetic number, because the mean of its divisors is an integer number (12612600).

Almost surely, 2504045414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504045414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605404800).

504045414 is an abundant number, since it is smaller than the sum of its proper divisors (706764186).

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

504045414 is a wasteful number, since it uses less digits than its factorization.

504045414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 504045414 is about 22450.9557480300. The cubic root of 504045414 is about 795.8353436265.

Adding to 504045414 its reverse (414540405), we get a palindrome (918585819).

The spelling of 504045414 in words is "five hundred four million, forty-five thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 19 23 38 46 57 69 114 138 139 171 207 278 342 414 417 437 461 834 874 922 1251 1311 1383 2502 2622 2641 2766 3197 3933 4149 5282 6394 7866 7923 8298 8759 9591 10603 15846 17518 19182 21206 23769 26277 28773 31809 47538 52554 57546 60743 63618 64079 78831 95427 121486 128158 157662 182229 190854 192237 201457 364458 384474 402914 546687 576711 604371 1093374 1153422 1208742 1217501 1473817 1813113 2435002 2947634 3626226 3652503 4421451 7305006 8842902 10957509 13264353 21915018 26528706 28002523 56005046 84007569 168015138 252022707 504045414