Search a number
-
+
504424998 = 2327113531031
BaseRepresentation
bin11110000100001…
…110101000100110
31022011011110000100
4132010032220212
52013113044443
6122015324530
715333353550
oct3604165046
91264143010
10504424998
11239809a70
12120b20746
138067423c
144adc84d0
152e43e3d3
hex1e10ea26

504424998 has 96 divisors (see below), whose sum is σ = 1367788032. Its totient is φ = 130521600.

The previous prime is 504424997. The next prime is 504425011. The reversal of 504424998 is 899424405.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504424997) by changing a digit.

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, 488743 + ... + 489773.

It is an arithmetic number, because the mean of its divisors is an integer number (14247792).

Almost surely, 2504424998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504424998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683894016).

504424998 is an abundant number, since it is smaller than the sum of its proper divisors (863363034).

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

504424998 is a wasteful number, since it uses less digits than its factorization.

504424998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 504424998 is about 22459.4077838219. The cubic root of 504424998 is about 796.0350680661.

The spelling of 504424998 in words is "five hundred four million, four hundred twenty-four thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 353 462 693 706 1031 1059 1386 2062 2118 2471 3093 3177 3883 4942 6186 6354 7217 7413 7766 9279 11341 11649 14434 14826 18558 21651 22239 22682 23298 27181 34023 34947 43302 44478 54362 64953 68046 69894 79387 81543 102069 129906 158774 163086 204138 238161 244629 363943 476322 489258 714483 727886 1091829 1428966 2183658 2547601 3275487 4003373 5095202 6550974 7642803 8006746 12010119 15285606 22928409 24020238 28023611 36030357 45856818 56047222 72060714 84070833 168141666 252212499 504424998