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5264406252 = 22327177011753
BaseRepresentation
bin1001110011100100…
…00111011011101100
3111120212220112202100
410321302013123230
541240142000002
62230214255100
7244312500120
oct47162073354
914525815670
105264406252
112261690376
12102b057490
1365b8765b1
1437d24b580
1520c28411c
hex139c876ec

5264406252 has 144 divisors (see below), whose sum is σ = 16135060032. Its totient is φ = 1412812800.

The previous prime is 5264406229. The next prime is 5264406263. The reversal of 5264406252 is 2526044625.

5264406252 is a `hidden beast` number, since 5 + 2 + 644 + 0 + 6 + 2 + 5 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3002208 + ... + 3003960.

It is an arithmetic number, because the mean of its divisors is an integer number (112049028).

Almost surely, 25264406252 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 5264406252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8067530016).

5264406252 is an abundant number, since it is smaller than the sum of its proper divisors (10870653780).

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

5264406252 is a wasteful number, since it uses less digits than its factorization.

5264406252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 5264406252 is about 72556.2282095755. The cubic root of 5264406252 is about 1739.6016012173.

The spelling of 5264406252 in words is "five billion, two hundred sixty-four million, four hundred six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 701 714 1071 1402 1428 1753 2103 2142 2804 3506 4206 4284 4907 5259 6309 7012 8412 9814 10518 11917 12271 12618 14721 15777 19628 21036 23834 24542 25236 29442 29801 31554 35751 36813 44163 47668 49084 58884 59602 63108 71502 73626 83419 88326 89403 107253 110439 119204 143004 147252 166838 176652 178806 208607 214506 220878 250257 268209 333676 357612 417214 429012 441756 500514 536418 625821 750771 834428 1001028 1072836 1228853 1251642 1501542 1877463 2457706 2503284 3003084 3686559 3754926 4915412 7373118 7509852 8601971 11059677 14746236 17203942 20890501 22119354 25805913 34407884 41781002 44238708 51611826 62671503 77417739 83562004 103223652 125343006 146233507 154835478 188014509 250686012 292467014 309670956 376029018 438700521 584934028 752058036 877401042 1316101563 1754802084 2632203126 5264406252