Search a number
-
+
2704662032 = 242910157713
BaseRepresentation
bin1010000100110101…
…1101111000010000
320222111022001210212
42201031131320100
521014343141112
61124214143252
7124011151022
oct24115357020
96874261725
102704662032
111168790686
12635951b28
13341459747
141b92c8012
1510c6a6522
hexa135de10

2704662032 has 40 divisors (see below), whose sum is σ = 5474750040. Its totient is φ = 1292748800.

The previous prime is 2704662013. The next prime is 2704662131. The reversal of 2704662032 is 2302664072.

It can be written as a sum of positive squares in 4 ways, for example, as 864595216 + 1840066816 = 29404^2 + 42896^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2704662032.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18008 + ... + 75720.

It is an arithmetic number, because the mean of its divisors is an integer number (136868751).

Almost surely, 22704662032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2704662032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737375020).

2704662032 is an abundant number, since it is smaller than the sum of its proper divisors (2770088008).

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

2704662032 is a wasteful number, since it uses less digits than its factorization.

2704662032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57851 (or 57845 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 2704662032 is about 52006.3653027204. The cubic root of 2704662032 is about 1393.2776424149.

The spelling of 2704662032 in words is "two billion, seven hundred four million, six hundred sixty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 29 58 101 116 202 232 404 464 808 1616 2929 5858 11716 23432 46864 57713 115426 230852 461704 923408 1673677 3347354 5829013 6694708 11658026 13389416 23316052 26778832 46632104 93264208 169041377 338082754 676165508 1352331016 2704662032