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2764901064 = 233296915749
BaseRepresentation
bin1010010011001101…
…0000101011001000
321010200122112020010
42210303100223020
521130303313224
61134205231520
7125342162022
oct24463205310
97120575203
102764901064
111199795102
12651b625a0
13350a8b443
141c32c9012
15112b04e29
hexa4cd0ac8

2764901064 has 64 divisors (see below), whose sum is σ = 7162200000. Its totient is φ = 888410880.

The previous prime is 2764901057. The next prime is 2764901089. The reversal of 2764901064 is 4601094672.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 478062 + ... + 483810.

It is an arithmetic number, because the mean of its divisors is an integer number (111909375).

Almost surely, 22764901064 is an apocalyptic number.

2764901064 is a gapful number since it is divisible by the number (24) 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 2764901064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3581100000).

2764901064 is an abundant number, since it is smaller than the sum of its proper divisors (4397298936).

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

2764901064 is a wasteful number, since it uses less digits than its factorization.

2764901064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6478 (or 6474 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 2764901064 is about 52582.3265365845. The cubic root of 2764901064 is about 1403.5456155764.

The spelling of 2764901064 in words is "two billion, seven hundred sixty-four million, nine hundred one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 691 696 1382 2073 2764 4146 5528 5749 8292 11498 16584 17247 20039 22996 34494 40078 45992 60117 68988 80156 120234 137976 160312 166721 240468 333442 480936 500163 666884 1000326 1333768 2000652 3972559 4001304 7945118 11917677 15890236 23835354 31780472 47670708 95341416 115204211 230408422 345612633 460816844 691225266 921633688 1382450532 2764901064