Search a number
-
+
4042022004 = 2232557201577
BaseRepresentation
bin1111000011101100…
…0101110001110100
3101102200202222210200
43300323011301310
531234224201004
61505030320500
7202110422466
oct36073056164
911380688720
104042022004
111794685a59
129497b9130
134c55456c7
142a4b72136
15189cc6239
hexf0ec5c74

4042022004 has 36 divisors (see below), whose sum is σ = 10235727684. Its totient is φ = 1344915072.

The previous prime is 4042021903. The next prime is 4042022027. The reversal of 4042022004 is 4002202404.

4042022004 is a `hidden beast` number, since 40 + 420 + 2 + 200 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1217312100 + 2824709904 = 34890^2 + 53148^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80737 + ... + 120840.

It is an arithmetic number, because the mean of its divisors is an integer number (284325769).

Almost surely, 24042022004 is an apocalyptic number.

It is an amenable number.

4042022004 is an abundant number, since it is smaller than the sum of its proper divisors (6193705680).

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

4042022004 is a wasteful number, since it uses less digits than its factorization.

4042022004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202144 (or 202139 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4042022004 is about 63576.8983515239. The cubic root of 4042022004 is about 1592.9405131927.

Adding to 4042022004 its reverse (4002202404), we get a palindrome (8044224408).

The spelling of 4042022004 in words is "four billion, forty-two million, twenty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 557 1114 1671 2228 3342 5013 6684 10026 20052 201577 403154 604731 806308 1209462 1814193 2418924 3628386 7256772 112278389 224556778 336835167 449113556 673670334 1010505501 1347340668 2021011002 4042022004