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504321228 = 22352112459
BaseRepresentation
bin11110000011110…
…101010011001100
31022010222011200000
4132003311103030
52013101234403
6122013204300
715332442165
oct3603652314
91263864600
10504321228
11239749004
12120a90690
1380638c38
144ad9c76c
152e41d7a3
hex1e0f54cc

504321228 has 72 divisors (see below), whose sum is σ = 1328832960. Its totient is φ = 167242320.

The previous prime is 504321217. The next prime is 504321229. The reversal of 504321228 is 822123405.

504321228 is a `hidden beast` number, since 5 + 0 + 432 + 1 + 228 = 666.

It is a super-3 number, since 3×5043212283 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (504321229) 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, 203863 + ... + 206321.

Almost surely, 2504321228 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 504321228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664416480).

504321228 is an abundant number, since it is smaller than the sum of its proper divisors (824511732).

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

504321228 is a wasteful number, since it uses less digits than its factorization.

504321228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 504321228 is about 22457.0974972279. The cubic root of 504321228 is about 795.9804777078.

The spelling of 504321228 in words is "five hundred four million, three hundred twenty-one thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 211 243 324 422 486 633 844 972 1266 1899 2459 2532 3798 4918 5697 7377 7596 9836 11394 14754 17091 22131 22788 29508 34182 44262 51273 66393 68364 88524 102546 132786 199179 205092 265572 398358 518849 597537 796716 1037698 1195074 1556547 2075396 2390148 3113094 4669641 6226188 9339282 14008923 18678564 28017846 42026769 56035692 84053538 126080307 168107076 252160614 504321228