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504981396 = 2232171038011
BaseRepresentation
bin11110000110010…
…110011110010100
31022012012201020200
4132012112132110
52013233401041
6122035300500
715341161653
oct3606263624
91265181220
10504981396
1123a059aa7
1212114a730
138080a57a
144b0d119a
152e4ee1b6
hex1e196794

504981396 has 72 divisors (see below), whose sum is σ = 1364860224. Its totient is φ = 156867840.

The previous prime is 504981377. The next prime is 504981397. The reversal of 504981396 is 693189405.

It is a happy number.

504981396 is a `hidden beast` number, since 504 + 9 + 8 + 139 + 6 = 666.

It is a super-2 number, since 2×5049813962 = 510012420612217632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504981397) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59031 + ... + 67041.

It is an arithmetic number, because the mean of its divisors is an integer number (18956392).

Almost surely, 2504981396 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 504981396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682430112).

504981396 is an abundant number, since it is smaller than the sum of its proper divisors (859878828).

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

504981396 is a wasteful number, since it uses less digits than its factorization.

504981396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8141 (or 8136 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 504981396 is about 22471.7911168647. The cubic root of 504981396 is about 796.3276451404.

The spelling of 504981396 in words is "five hundred four million, nine hundred eighty-one thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 103 153 204 206 306 309 412 612 618 927 1236 1751 1854 3502 3708 5253 7004 8011 10506 15759 16022 21012 24033 31518 32044 48066 63036 72099 96132 136187 144198 272374 288396 408561 544748 817122 825133 1225683 1634244 1650266 2451366 2475399 3300532 4902732 4950798 7426197 9901596 14027261 14852394 28054522 29704788 42081783 56109044 84163566 126245349 168327132 252490698 504981396