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503055252 = 22337798423
BaseRepresentation
bin11101111111000…
…000001110010100
31022001120212002000
4131333000032110
52012240232002
6121530115300
715315620250
oct3577001624
91261525060
10503055252
11238a63947
1212057bb30
13802b493b
144ab4d260
152e26d61c
hex1dfc0394

503055252 has 96 divisors (see below), whose sum is σ = 1509580800. Its totient is φ = 141893856.

The previous prime is 503055239. The next prime is 503055253. The reversal of 503055252 is 252550305.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (503055253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55513 + ... + 63935.

It is an arithmetic number, because the mean of its divisors is an integer number (15724800).

Almost surely, 2503055252 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 503055252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754790400).

503055252 is an abundant number, since it is smaller than the sum of its proper divisors (1006525548).

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

503055252 is a wasteful number, since it uses less digits than its factorization.

503055252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8522 (or 8514 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 27.

The square root of 503055252 is about 22428.8932406394. The cubic root of 503055252 is about 795.3138810415.

The spelling of 503055252 in words is "five hundred three million, fifty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 79 84 108 126 158 189 237 252 316 378 474 553 711 756 948 1106 1422 1659 2133 2212 2844 3318 4266 4977 6636 8423 8532 9954 14931 16846 19908 25269 29862 33692 50538 58961 59724 75807 101076 117922 151614 176883 227421 235844 303228 353766 454842 530649 665417 707532 909684 1061298 1330834 1591947 1996251 2122596 2661668 3183894 3992502 4657919 5988753 6367788 7985004 9315838 11977506 13973757 17966259 18631676 23955012 27947514 35932518 41921271 55895028 71865036 83842542 125763813 167685084 251527626 503055252