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2731693048 = 237299717341
BaseRepresentation
bin1010001011010010…
…0101001111111000
321001101011101101121
42202310211033320
521043303134143
61131021355024
7124460002450
oct24264451770
97041141347
102731693048
111181a73467
12642a08a74
13346c32226
141bcb22d60
1510ec457ed
hexa2d253f8

2731693048 has 64 divisors (see below), whose sum is σ = 6118257600. Its totient is φ = 1118638080.

The previous prime is 2731693021. The next prime is 2731693051. The reversal of 2731693048 is 8403961372.

2731693048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2731692995 and 2731693013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148858 + ... + 166198.

It is an arithmetic number, because the mean of its divisors is an integer number (95597775).

Almost surely, 22731693048 is an apocalyptic number.

2731693048 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 2731693048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3059128800).

2731693048 is an abundant number, since it is smaller than the sum of its proper divisors (3386564552).

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

2731693048 is a wasteful number, since it uses less digits than its factorization.

2731693048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17480 (or 17476 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 2731693048 is about 52265.6010010408. The cubic root of 2731693048 is about 1397.9038440403.

The spelling of 2731693048 in words is "two billion, seven hundred thirty-one million, six hundred ninety-three thousand, forty-eight".

Divisors: 1 2 4 7 8 14 28 29 56 58 97 116 194 203 232 388 406 679 776 812 1358 1624 2716 2813 5432 5626 11252 17341 19691 22504 34682 39382 69364 78764 121387 138728 157528 242774 485548 502889 971096 1005778 1682077 2011556 3364154 3520223 4023112 6728308 7040446 11774539 13456616 14080892 23549078 28161784 47098156 48780233 94196312 97560466 195120932 341461631 390241864 682923262 1365846524 2731693048