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489825504 = 253272291061
BaseRepresentation
bin11101001100100…
…010010011100000
31021010200201021100
4131030202103200
52000343404004
6120334354400
715065306460
oct3514422340
91233621240
10489825504
11231548173
1211805ba00
137a631c9c
14490a7ba0
152d008739
hex1d3224e0

489825504 has 144 divisors (see below), whose sum is σ = 1600391520. Its totient is φ = 139207680.

The previous prime is 489825467. The next prime is 489825533. The reversal of 489825504 is 405528984.

489825504 is a `hidden beast` number, since 4 + 8 + 98 + 2 + 550 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 489825504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 461134 + ... + 462194.

It is an arithmetic number, because the mean of its divisors is an integer number (11113830).

Almost surely, 2489825504 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 489825504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800195760).

489825504 is an abundant number, since it is smaller than the sum of its proper divisors (1110566016).

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

489825504 is a wasteful number, since it uses less digits than its factorization.

489825504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 489825504 is about 22132.0018073377. The cubic root of 489825504 is about 788.2799215090.

The spelling of 489825504 in words is "four hundred eighty-nine million, eight hundred twenty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 229 252 288 336 458 504 672 687 916 1008 1061 1374 1603 1832 2016 2061 2122 2748 3183 3206 3664 4122 4244 4809 5496 6366 6412 7328 7427 8244 8488 9549 9618 10992 12732 12824 14427 14854 16488 16976 19098 19236 21984 22281 25464 25648 28854 29708 32976 33952 38196 38472 44562 50928 51296 57708 59416 65952 66843 76392 76944 89124 101856 115416 118832 133686 152784 153888 178248 230832 237664 242969 267372 305568 356496 461664 485938 534744 712992 728907 971876 1069488 1457814 1700783 1943752 2138976 2186721 2915628 3401566 3887504 4373442 5102349 5831256 6803132 7775008 8746884 10204698 11662512 13606264 15307047 17493768 20409396 23325024 27212528 30614094 34987536 40818792 54425056 61228188 69975072 81637584 122456376 163275168 244912752 489825504