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2793992640 = 263510926701
BaseRepresentation
bin1010011010001000…
…1111000111000000
321012201101112100220
42212202033013000
521210230231030
61141124543040
7126144355065
oct24642170700
97181345326
102793992640
11120415502a
1265b851a80
13356b05aaa
141c70dcc6c
1511544ea10
hexa688f1c0

2793992640 has 112 divisors (see below), whose sum is σ = 8952646560. Its totient is φ = 738201600.

The previous prime is 2793992633. The next prime is 2793992657. The reversal of 2793992640 is 462993972.

It is a congruent 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, 91290 + ... + 117990.

Almost surely, 22793992640 is an apocalyptic number.

2793992640 is a gapful number since it is divisible by the number (20) 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 2793992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4476323280).

2793992640 is an abundant number, since it is smaller than the sum of its proper divisors (6158653920).

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

2793992640 is a wasteful number, since it uses less digits than its factorization.

2793992640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26830 (or 26820 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 51.

The square root of 2793992640 is about 52858.2315254682. The cubic root of 2793992640 is about 1408.4510327582.

The spelling of 2793992640 in words is "two billion, seven hundred ninety-three million, nine hundred ninety-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 109 120 160 192 218 240 320 327 436 480 545 654 872 960 1090 1308 1635 1744 2180 2616 3270 3488 4360 5232 6540 6976 8720 10464 13080 17440 20928 26160 26701 34880 52320 53402 80103 104640 106804 133505 160206 213608 267010 320412 400515 427216 534020 640824 801030 854432 1068040 1281648 1602060 1708864 2136080 2563296 2910409 3204120 4272160 5126592 5820818 6408240 8544320 8731227 11641636 12816480 14552045 17462454 23283272 25632960 29104090 34924908 43656135 46566544 58208180 69849816 87312270 93133088 116416360 139699632 174624540 186266176 232832720 279399264 349249080 465665440 558798528 698498160 931330880 1396996320 2793992640