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508481428 = 2272131971013
BaseRepresentation
bin11110010011101…
…100111110010100
31022102210112101111
4132103230332110
52020132401203
6122242304404
715413010100
oct3623547624
91272715344
10508481428
1124102a694
12122358104
13814646b0
144b762900
152e99126d
hex1e4ecf94

508481428 has 72 divisors (see below), whose sum is σ = 1121512392. Its totient is φ = 199938816.

The previous prime is 508481419. The next prime is 508481431. The reversal of 508481428 is 824184805.

It can be written as a sum of positive squares in 4 ways, for example, as 11102224 + 497379204 = 3332^2 + 22302^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 501450 + ... + 502462.

It is an arithmetic number, because the mean of its divisors is an integer number (15576561).

Almost surely, 2508481428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508481428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560756196).

508481428 is an abundant number, since it is smaller than the sum of its proper divisors (613030964).

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

508481428 is a wasteful number, since it uses less digits than its factorization.

508481428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 40.

The square root of 508481428 is about 22549.5327667781. The cubic root of 508481428 is about 798.1631963347.

The spelling of 508481428 in words is "five hundred eight million, four hundred eighty-one thousand, four hundred twenty-eight".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 197 364 394 637 788 1013 1274 1379 2026 2548 2561 2758 4052 5122 5516 7091 9653 10244 13169 14182 17927 19306 26338 28364 35854 38612 49637 52676 71708 92183 99274 125489 184366 198548 199561 250978 368732 399122 501956 645281 798244 1290562 1396927 2581124 2594293 2793854 5188586 5587708 9778489 10377172 18160051 19556978 36320102 39113956 72640204 127120357 254240714 508481428