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4042000420 = 225712928349
BaseRepresentation
bin1111000011101100…
…0000100000100100
3101102200201220012021
43300323000200210
531234223003140
61505030032524
7202110302533
oct36073004044
911380656167
104042000420
111794670817
129497a8744
134c5538933
142a4b6831a
15189cbeb4a
hexf0ec0824

4042000420 has 24 divisors (see below), whose sum is σ = 8489691000. Its totient is φ = 1616516352.

The previous prime is 4042000411. The next prime is 4042000429. The reversal of 4042000420 is 240002404.

It is an interprime number because it is at equal distance from previous prime (4042000411) and next prime (4042000429).

It can be written as a sum of positive squares in 4 ways, for example, as 34857216 + 4007143204 = 5904^2 + 63302^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4042000394 and 4042000403.

It is not an unprimeable number, because it can be changed into a prime (4042000429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128406 + ... + 156754.

It is an arithmetic number, because the mean of its divisors is an integer number (353737125).

Almost surely, 24042000420 is an apocalyptic number.

It is an amenable number.

4042000420 is an abundant number, since it is smaller than the sum of its proper divisors (4447690580).

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

4042000420 is a wasteful number, since it uses less digits than its factorization.

4042000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35487 (or 35485 counting only the distinct ones).

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

The square root of 4042000420 is about 63576.7286041048. The cubic root of 4042000420 is about 1592.9376778058.

Adding to 4042000420 its reverse (240002404), we get a palindrome (4282002824).

The spelling of 4042000420 in words is "four billion, forty-two million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 7129 14258 28349 28516 35645 56698 71290 113396 141745 142580 283490 566980 202100021 404200042 808400084 1010500105 2021000210 4042000420