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4042085232 = 243192892621
BaseRepresentation
bin1111000011101101…
…0101001101110000
3101102200220012112110
43300323111031300
531234233211412
61505031525320
7202111105023
oct36073251560
911380805473
104042085232
111794719509
12949829840
134c5568413
142a4b8b1ba
15189cd9d3c
hexf0ed5370

4042085232 has 120 divisors (see below), whose sum is σ = 11148639120. Its totient is φ = 1261624320.

The previous prime is 4042085231. The next prime is 4042085237. The reversal of 4042085232 is 2325802404.

It is a self number, because there is not a number n which added to its sum of digits gives 4042085232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042085231) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1540882 + ... + 1543502.

It is an arithmetic number, because the mean of its divisors is an integer number (92905326).

Almost surely, 24042085232 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 4042085232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5574319560).

4042085232 is an abundant number, since it is smaller than the sum of its proper divisors (7106553888).

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

4042085232 is a wasteful number, since it uses less digits than its factorization.

4042085232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 4042085232 is about 63577.3956056710. The cubic root of 4042085232 is about 1592.9488190948.

Adding to 4042085232 its reverse (2325802404), we get a palindrome (6367887636).

The spelling of 4042085232 in words is "four billion, forty-two million, eighty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 89 114 152 178 228 267 304 356 361 456 534 712 722 912 1068 1083 1424 1444 1691 2136 2166 2621 2888 3382 4272 4332 5073 5242 5776 6764 7863 8664 10146 10484 13528 15726 17328 20292 20968 27056 31452 32129 40584 41936 49799 62904 64258 81168 96387 99598 125808 128516 149397 192774 199196 233269 257032 298794 385548 398392 466538 514064 597588 699807 771096 796784 933076 946181 1195176 1399614 1542192 1866152 1892362 2390352 2799228 2838543 3732304 3784724 4432111 5598456 5677086 7569448 8864222 11196912 11354172 13296333 15138896 17728444 22708344 26592666 35456888 45416688 53185332 70913776 84210109 106370664 168420218 212741328 252630327 336840436 505260654 673680872 1010521308 1347361744 2021042616 4042085232