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504512052 = 2231141731277
BaseRepresentation
bin11110000100100…
…011111000110100
31022011022212102120
4132010203320310
52013123341202
6122021235540
715334165422
oct3604437064
91264285376
10504512052
11239869410
12120b62bb0
13806a4a55
144b00c112
152e45a0bc
hex1e123e34

504512052 has 96 divisors (see below), whose sum is σ = 1334600064. Its totient is φ = 146995200.

The previous prime is 504512023. The next prime is 504512081. The reversal of 504512052 is 250215405.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (504512023) and next prime (504512081).

It is a super-2 number, since 2×5045120522 = 509064821226501408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394438 + ... + 395714.

It is an arithmetic number, because the mean of its divisors is an integer number (13902084).

Almost surely, 2504512052 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 504512052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667300032).

504512052 is an abundant number, since it is smaller than the sum of its proper divisors (830088012).

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

504512052 is a wasteful number, since it uses less digits than its factorization.

504512052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 504512052 is about 22461.3457299424. The cubic root of 504512052 is about 796.0808588516.

Adding to 504512052 its reverse (250215405), we get a palindrome (754727457).

The spelling of 504512052 in words is "five hundred four million, five hundred twelve thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 73 82 123 132 146 164 219 246 292 438 451 492 803 876 902 1277 1353 1606 1804 2409 2554 2706 2993 3212 3831 4818 5108 5412 5986 7662 8979 9636 11972 14047 15324 17958 28094 32923 35916 42141 52357 56188 65846 84282 93221 98769 104714 131692 157071 168564 186442 197538 209428 279663 314142 372884 395076 559326 575927 628284 1025431 1118652 1151854 1727781 2050862 2303708 3076293 3455562 3822061 4101724 6152586 6911124 7644122 11466183 12305172 15288244 22932366 42042671 45864732 84085342 126128013 168170684 252256026 504512052