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4042022020 = 2251012817121
BaseRepresentation
bin1111000011101100…
…0101110010000100
3101102200202222211021
43300323011302010
531234224201040
61505030320524
7202110422521
oct36073056204
911380688737
104042022020
111794685a73
129497b9144
134c554570a
142a4b72148
15189cc624a
hexf0ec5c84

4042022020 has 48 divisors (see below), whose sum is σ = 8604002736. Its totient is φ = 1594880000.

The previous prime is 4042021903. The next prime is 4042022027. The reversal of 4042022020 is 202202404.

It can be written as a sum of positive squares in 8 ways, for example, as 114244 + 4041907776 = 338^2 + 63576^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4042021985 and 4042022003.

It is not an unprimeable number, because it can be changed into a prime (4042022027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 564060 + ... + 571180.

It is an arithmetic number, because the mean of its divisors is an integer number (179250057).

Almost surely, 24042022020 is an apocalyptic number.

It is an amenable number.

4042022020 is an abundant number, since it is smaller than the sum of its proper divisors (4561980716).

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

4042022020 is a wasteful number, since it uses less digits than its factorization.

4042022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7512 (or 7510 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4042022020 is about 63576.8984773558. The cubic root of 4042022020 is about 1592.9405152945.

Adding to 4042022020 its reverse (202202404), we get a palindrome (4244224424).

The spelling of 4042022020 in words is "four billion, forty-two million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 281 404 505 562 1010 1124 1405 2020 2810 5620 7121 14242 28381 28484 35605 56762 71210 113524 141905 142420 283810 567620 719221 1438442 2001001 2876884 3596105 4002002 7192210 8004004 10005005 14384420 20010010 40020020 202101101 404202202 808404404 1010505505 2021011010 4042022020