Search a number
-
+
504416934 = 232731891451
BaseRepresentation
bin11110000100001…
…100101010100110
31022011011000221200
4132010030222212
52013112320214
6122015223330
715333321210
oct3604145246
91264130850
10504416934
112398039aa
12120b17b46
1380670678
144adc55b0
152e43bd09
hex1e10caa6

504416934 has 96 divisors (see below), whose sum is σ = 1304709120. Its totient is φ = 137808000.

The previous prime is 504416929. The next prime is 504416947. The reversal of 504416934 is 439614405.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 346909 + ... + 348359.

It is an arithmetic number, because the mean of its divisors is an integer number (13590720).

Almost surely, 2504416934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504416934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652354560).

504416934 is an abundant number, since it is smaller than the sum of its proper divisors (800292186).

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

504416934 is a wasteful number, since it uses less digits than its factorization.

504416934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 504416934 is about 22459.2282592256. The cubic root of 504416934 is about 796.0308261001.

It can be divided in two parts, 50441 and 6934, that added together give a palindrome (57375).

The spelling of 504416934 in words is "five hundred four million, four hundred sixteen thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 89 93 126 178 186 217 267 279 434 534 558 623 651 801 1246 1302 1451 1602 1869 1953 2759 2902 3738 3906 4353 5518 5607 8277 8706 10157 11214 13059 16554 19313 20314 24831 26118 30471 38626 44981 49662 57939 60942 89962 91413 115878 129139 134943 173817 182826 258278 269886 314867 347634 387417 404829 629734 774834 809658 903973 944601 1162251 1807946 1889202 2324502 2711919 2833803 4003309 5423838 5667606 8006618 8135757 12009927 16271514 24019854 28023163 36029781 56046326 72059562 84069489 168138978 252208467 504416934