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2828147742 = 232722445617
BaseRepresentation
bin1010100010010010…
…0001110000011110
321022002122210100200
42220210201300132
521243001211432
61144345004330
7130040600460
oct25044416036
97262583320
102828147742
111221463292
1266b1836a6
13360c04104
141cb870130
15118449a7c
hexa8921c1e

2828147742 has 24 divisors (see below), whose sum is σ = 7003032816. Its totient is φ = 808042176.

The previous prime is 2828147737. The next prime is 2828147747. The reversal of 2828147742 is 2477418282.

It is an interprime number because it is at equal distance from previous prime (2828147737) and next prime (2828147747).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2828147747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11222683 + ... + 11222934.

It is an arithmetic number, because the mean of its divisors is an integer number (291793034).

Almost surely, 22828147742 is an apocalyptic number.

2828147742 is an abundant number, since it is smaller than the sum of its proper divisors (4174885074).

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

2828147742 is a wasteful number, since it uses less digits than its factorization.

2828147742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22445632 (or 22445629 counting only the distinct ones).

The product of its digits is 401408, while the sum is 45.

The square root of 2828147742 is about 53180.3322855358. The cubic root of 2828147742 is about 1414.1669970488.

The spelling of 2828147742 in words is "two billion, eight hundred twenty-eight million, one hundred forty-seven thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 22445617 44891234 67336851 134673702 157119319 202010553 314238638 404021106 471357957 942715914 1414073871 2828147742