Search a number
-
+
2790638964 = 223277517749
BaseRepresentation
bin1010011001010101…
…1100010101110100
321012111002010222200
42212111130111310
521203400421324
61140525024500
7126104016441
oct24625342564
97174063880
102790638964
1112022743a3
1265a6b5130
13356200479
141c68a89c8
15114edaec9
hexa655c574

2790638964 has 18 divisors (see below), whose sum is σ = 7054115250. Its totient is φ = 930212976.

The previous prime is 2790638891. The next prime is 2790638987. The reversal of 2790638964 is 4698360972.

It is a happy number.

2790638964 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., 2336948964 + 453690000 = 48342^2 + 21300^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a self number, because there is not a number n which added to its sum of digits gives 2790638964.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 38758839 + ... + 38758910.

Almost surely, 22790638964 is an apocalyptic number.

It is an amenable number.

2790638964 is an abundant number, since it is smaller than the sum of its proper divisors (4263476286).

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

2790638964 is a wasteful number, since it uses less digits than its factorization.

2790638964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77517759 (or 77517754 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 2790638964 is about 52826.4986914711. The cubic root of 2790638964 is about 1407.8872780423.

The spelling of 2790638964 in words is "two billion, seven hundred ninety million, six hundred thirty-eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 77517749 155035498 232553247 310070996 465106494 697659741 930212988 1395319482 2790638964