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4042064260 = 2251323732321
BaseRepresentation
bin1111000011101101…
…0000000110000100
3101102200212010202201
43300323100012010
531234232024020
61505031244244
7202110656623
oct36073200604
911380763681
104042064260
111794704783
12949819684
134c555ba00
142a4b836ba
15189cd3a0a
hexf0ed0184

4042064260 has 72 divisors (see below), whose sum is σ = 9440221896. Its totient is φ = 1452072960.

The previous prime is 4042064219. The next prime is 4042064263. The reversal of 4042064260 is 624602404.

It can be written as a sum of positive squares in 12 ways, for example, as 1658281284 + 2383782976 = 40722^2 + 48824^2 .

It is not an unprimeable number, because it can be changed into a prime (4042064263) 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 23 ways as a sum of consecutive naturals, for example, 108900 + ... + 141220.

It is an arithmetic number, because the mean of its divisors is an integer number (131114193).

Almost surely, 24042064260 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 4042064260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4720110948).

4042064260 is an abundant number, since it is smaller than the sum of its proper divisors (5398157636).

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

4042064260 is a wasteful number, since it uses less digits than its factorization.

4042064260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32393 (or 32378 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 4042064260 is about 63577.2306726237. The cubic root of 4042064260 is about 1592.9460641323.

Adding to 4042064260 its reverse (624602404), we get a palindrome (4666666664).

The spelling of 4042064260 in words is "four billion, forty-two million, sixty-four thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 169 185 260 338 370 481 676 740 845 962 1690 1924 2405 3380 4810 6253 9620 12506 25012 31265 32321 62530 64642 125060 129284 161605 323210 420173 646420 840346 1195877 1680692 2100865 2391754 4201730 4783508 5462249 5979385 8403460 10924498 11958770 15546401 21848996 23917540 27311245 31092802 54622490 62185604 77732005 109244980 155464010 202103213 310928020 404206426 808412852 1010516065 2021032130 4042064260