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2713784836 = 2272614
BaseRepresentation
bin1010000111000001…
…0001001000000100
321000010110112221111
42201300101020010
521024212103321
61125141454404
7124151535100
oct24160211004
97003415844
102713784836
111172951794
12638a11404
13343301c59
141ba5c0900
1510d3a95e1
hexa1c11204

2713784836 has 45 divisors (see below), whose sum is σ = 5616565395. Its totient is φ = 1143984240.

The previous prime is 2713784831. The next prime is 2713784861. The reversal of 2713784836 is 6384873172.

It is a happy number.

The square root of 2713784836 is 52094.

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

It can be written as a sum of positive squares in 2 ways, for example, as 2372274436 + 341510400 = 48706^2 + 18480^2 .

It is a super-2 number, since 2×27137848362 = 14729256272207093792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 2713784836.

It is not an unprimeable number, because it can be changed into a prime (2713784831) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 44488246 + ... + 44488306.

Almost surely, 22713784836 is an apocalyptic number.

2713784836 is the 52094-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2713784836

2713784836 is an abundant number, since it is smaller than the sum of its proper divisors (2902780559).

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

2713784836 is an frugal number, since it uses more digits than its factorization.

2713784836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 70 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 49.

The cubic root of 2713784836 is about 1394.8423893225.

Multiplying 2713784836 by its sum of digits (49), we get a square (132975456964 = 3646582).

2713784836 divided by its sum of digits (49) gives a square (55383364 = 74422).

The spelling of 2713784836 in words is "two billion, seven hundred thirteen million, seven hundred eighty-four thousand, eight hundred thirty-six".

Divisors: 1 2 4 7 14 28 49 61 98 122 196 244 427 854 1708 2989 3721 5978 7442 11956 14884 26047 52094 104188 182329 226981 364658 453962 729316 907924 1588867 3177734 6355468 11122069 13845841 22244138 27691682 44488276 55383364 96920887 193841774 387683548 678446209 1356892418 2713784836