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2826729889 = 7926732
BaseRepresentation
bin1010100001111100…
…0111100110100001
321021222222202102121
42220133013212201
521242120324024
61144254344241
7130022544004
oct25037074641
97258882377
102826729889
111220685005
1266a7bb081
13360828949
141cb5c153b
151182698e4
hexa87c79a1

2826729889 has 9 divisors (see below), whose sum is σ = 2867224563. Its totient is φ = 2786801472.

The previous prime is 2826729881. The next prime is 2826729911. The reversal of 2826729889 is 9889276282.

The square root of 2826729889 is 53167.

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

2826729889 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 925072225 + 1901657664 = 30415^2 + 43608^2 .

It is not a de Polignac number, because 2826729889 - 23 = 2826729881 is a prime.

It is a super-3 number, since 3×28267298893 (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2826729881) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4199857 + ... + 4200529.

It is an arithmetic number, because the mean of its divisors is an integer number (318580507).

Almost surely, 22826729889 is an apocalyptic number.

2826729889 is the 53167-th square number.

2826729889 is the 26584-th centered octagonal number.

It is an amenable number.

2826729889 is a deficient number, since it is larger than the sum of its proper divisors (40494674).

2826729889 is an frugal number, since it uses more digits than its factorization.

2826729889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 752 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 61.

The cubic root of 2826729889 is about 1413.9306331494.

The spelling of 2826729889 in words is "two billion, eight hundred twenty-six million, seven hundred twenty-nine thousand, eight hundred eighty-nine".

Divisors: 1 79 673 6241 53167 452929 4200193 35781391 2826729889