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504243252 = 223337257491
BaseRepresentation
bin11110000011100…
…010010000110100
31022010211012201000
4132003202100310
52013041241002
6122011403300
715331665642
oct3603422064
91263735630
10504243252
112396a5467
12120a53530
138060c5b6
144ad7c192
152e40561c
hex1e0e2434

504243252 has 96 divisors (see below), whose sum is σ = 1350599040. Its totient is φ = 162570240.

The previous prime is 504243221. The next prime is 504243253. The reversal of 504243252 is 252342405.

It is a happy number.

It is a super-2 number, since 2×5042432522 = 508522514375071008, which contains 22 as substring.

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 (504243253) 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, 1026727 + ... + 1027217.

It is an arithmetic number, because the mean of its divisors is an integer number (14068740).

Almost surely, 2504243252 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 504243252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675299520).

504243252 is an abundant number, since it is smaller than the sum of its proper divisors (846355788).

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

504243252 is a wasteful number, since it uses less digits than its factorization.

504243252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 504243252 is about 22455.3613197383. The cubic root of 504243252 is about 795.9394518897.

Adding to 504243252 its reverse (252342405), we get a palindrome (756585657).

The spelling of 504243252 in words is "five hundred four million, two hundred forty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 257 333 444 491 514 666 771 982 999 1028 1332 1473 1542 1964 1998 2313 2946 3084 3996 4419 4626 5892 6939 8838 9252 9509 13257 13878 17676 18167 19018 26514 27756 28527 36334 38036 53028 54501 57054 72668 85581 109002 114108 126187 163503 171162 218004 252374 256743 327006 342324 378561 490509 504748 513486 654012 757122 981018 1026972 1135683 1514244 1962036 2271366 3407049 4542732 4668919 6814098 9337838 13628196 14006757 18675676 28013514 42020271 56027028 84040542 126060813 168081084 252121626 504243252