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507305916 = 223413432801
BaseRepresentation
bin11110001111001…
…101111110111100
31022100120210220000
4132033031332330
52014332242131
6122201154300
715400012665
oct3617157674
91270523800
10507305916
112403a7497
12121a8b990
1381142620
144b53836c
152e80cce6
hex1e3cdfbc

507305916 has 120 divisors (see below), whose sum is σ = 1461949104. Its totient is φ = 152409600.

The previous prime is 507305899. The next prime is 507305957. The reversal of 507305916 is 619503705.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 179716 + ... + 182516.

Almost surely, 2507305916 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 507305916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730974552).

507305916 is an abundant number, since it is smaller than the sum of its proper divisors (954643188).

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

507305916 is a wasteful number, since it uses less digits than its factorization.

507305916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2873 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 507305916 is about 22523.4525772582. The cubic root of 507305916 is about 797.5476547684.

The spelling of 507305916 in words is "five hundred seven million, three hundred five thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 43 52 54 78 81 86 108 117 129 156 162 172 234 258 324 351 387 468 516 559 702 774 1053 1118 1161 1404 1548 1677 2106 2236 2322 2801 3354 3483 4212 4644 5031 5602 6708 6966 8403 10062 11204 13932 15093 16806 20124 25209 30186 33612 36413 45279 50418 60372 72826 75627 90558 100836 109239 120443 145652 151254 181116 218478 226881 240886 302508 327717 361329 436956 453762 481772 655434 722658 907524 983151 1083987 1310868 1445316 1565759 1966302 2167974 2949453 3131518 3251961 3932604 4335948 4697277 5898906 6263036 6503922 9394554 9755883 11797812 13007844 14091831 18789108 19511766 28183662 39023532 42275493 56367324 84550986 126826479 169101972 253652958 507305916