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2764323268 = 227292891319
BaseRepresentation
bin1010010011000100…
…0011100111000100
321010122120011122021
42210301003213010
521130131321033
61134145012524
7125334234340
oct24461034704
97118504567
102764323268
11119942aa93
12651924144
13350918455
141c31b8620
15112a3db2d
hexa4c439c4

2764323268 has 72 divisors (see below), whose sum is σ = 5794588800. Its totient is φ = 1130148096.

The previous prime is 2764323259. The next prime is 2764323269. The reversal of 2764323268 is 8623234672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2764323269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2095113 + ... + 2096431.

It is an arithmetic number, because the mean of its divisors is an integer number (80480400).

Almost surely, 22764323268 is an apocalyptic number.

2764323268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2764323268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2897294400).

2764323268 is an abundant number, since it is smaller than the sum of its proper divisors (3030265532).

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

2764323268 is a wasteful number, since it uses less digits than its factorization.

2764323268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1446 counting only the distinct ones).

The product of its digits is 580608, while the sum is 43.

The square root of 2764323268 is about 52576.8320460638. The cubic root of 2764323268 is about 1403.4478399815.

The spelling of 2764323268 in words is "two billion, seven hundred sixty-four million, three hundred twenty-three thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 28 29 58 89 116 178 203 356 406 623 812 841 1246 1319 1682 2492 2581 2638 3364 5162 5276 5887 9233 10324 11774 18067 18466 23548 36134 36932 38251 72268 74849 76502 117391 149698 153004 234782 267757 299396 469564 523943 535514 821737 1047886 1071028 1109279 1643474 2095772 2218558 3286948 3404339 4437116 6808678 7764953 13617356 15529906 23830373 31059812 47660746 95321492 98725831 197451662 394903324 691080817 1382161634 2764323268