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504524052 = 22341739001
BaseRepresentation
bin11110000100100…
…110110100010100
31022011100110220000
4132010212310110
52013124232202
6122021411300
715334245414
oct3604466424
91264313800
10504524052
1123987742a
12120b69b30
13806aa356
144b012644
152e45d91c
hex1e126d14

504524052 has 60 divisors (see below), whose sum is σ = 1326696756. Its totient is φ = 167184000.

The previous prime is 504524047. The next prime is 504524093. The reversal of 504524052 is 250425405.

It can be written as a sum of positive squares in 2 ways, for example, as 285069456 + 219454596 = 16884^2 + 14814^2 .

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

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 51552 + ... + 60552.

Almost surely, 2504524052 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 504524052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663348378).

504524052 is an abundant number, since it is smaller than the sum of its proper divisors (822172704).

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

504524052 is a wasteful number, since it uses less digits than its factorization.

504524052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9190 (or 9179 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 504524052 is about 22461.6128539337. The cubic root of 504524052 is about 796.0871704911.

Adding to 504524052 its reverse (250425405), we get a palindrome (754949457).

The spelling of 504524052 in words is "five hundred four million, five hundred twenty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 173 324 346 519 692 1038 1557 2076 3114 4671 6228 9001 9342 14013 18002 18684 27003 28026 36004 54006 56052 81009 108012 162018 243027 324036 486054 729081 972108 1458162 1557173 2916324 3114346 4671519 6228692 9343038 14014557 18686076 28029114 42043671 56058228 84087342 126131013 168174684 252262026 504524052