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2652868036 = 22721322832
BaseRepresentation
bin1001111000011111…
…1000110111000100
320211212211122210201
42132013320313010
520413113234121
61115124100244
7122512002100
oct23607706704
96755748721
102652868036
111141525025
12620534684
133337c3900
141b2484900
15107d74e91
hex9e1f8dc4

2652868036 has 81 divisors (see below), whose sum is σ = 5868595341. Its totient is φ = 1045777824.

The previous prime is 2652868019. The next prime is 2652868039. The reversal of 2652868036 is 6308682562.

The square root of 2652868036 is 51506.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 392436100 + 2260431936 = 19810^2 + 47544^2 .

It is not an unprimeable number, because it can be changed into a prime (2652868039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9373951 + ... + 9374233.

Almost surely, 22652868036 is an apocalyptic number.

2652868036 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2652868036 is the 51506-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2652868036

2652868036 is an abundant number, since it is smaller than the sum of its proper divisors (3215727305).

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

2652868036 is a wasteful number, since it uses less digits than its factorization.

2652868036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The cubic root of 2652868036 is about 1384.3265522172.

The spelling of 2652868036 in words is "two billion, six hundred fifty-two million, eight hundred sixty-eight thousand, thirty-six".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 283 338 364 566 637 676 1132 1183 1274 1981 2366 2548 3679 3962 4732 7358 7924 8281 13867 14716 16562 25753 27734 33124 47827 51506 55468 80089 95654 103012 160178 180271 191308 320356 334789 360542 560623 669578 721084 1041157 1121246 1339156 2082314 2242492 2343523 3924361 4164628 4687046 7288099 7848722 9374092 13535041 14576198 15697444 27070082 29152396 51016693 54140164 94745287 102033386 189490574 204066772 378981148 663217009 1326434018 2652868036