Search a number
-
+
504219528 = 233253229577
BaseRepresentation
bin11110000011011…
…100011110001000
31022010210000011100
4132003130132020
52013040011103
6122011101400
715331536531
oct3603343610
91263700140
10504219528
1123968965a
12120a41860
1380601867
144ad73688
152e3ed5a3
hex1e0dc788

504219528 has 96 divisors (see below), whose sum is σ = 1399858200. Its totient is φ = 163897344.

The previous prime is 504219523. The next prime is 504219539. The reversal of 504219528 is 825912405.

It can be written as a sum of positive squares in 4 ways, for example, as 450373284 + 53846244 = 21222^2 + 7338^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 504219492 and 504219501.

It is not an unprimeable number, because it can be changed into a prime (504219523) 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, 873576 + ... + 874152.

Almost surely, 2504219528 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 504219528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699929100).

504219528 is an abundant number, since it is smaller than the sum of its proper divisors (895638672).

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

504219528 is a wasteful number, since it uses less digits than its factorization.

504219528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 504219528 is about 22454.8330655118. The cubic root of 504219528 is about 795.9269690496.

The spelling of 504219528 in words is "five hundred four million, two hundred nineteen thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 229 318 424 458 477 577 636 687 916 954 1154 1272 1374 1731 1832 1908 2061 2308 2748 3462 3816 4122 4616 5193 5496 6924 8244 10386 12137 13848 16488 20772 24274 30581 36411 41544 48548 61162 72822 91743 97096 109233 122324 132133 145644 183486 218466 244648 264266 275229 291288 366972 396399 436932 528532 550458 733944 792798 873864 1057064 1100916 1189197 1585596 2201832 2378394 3171192 4756788 7003049 9513576 14006098 21009147 28012196 42018294 56024392 63027441 84036588 126054882 168073176 252109764 504219528