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4042042040 = 235296775147
BaseRepresentation
bin1111000011101100…
…1010101010111000
3101102200211000021202
43300323022222320
531234230321130
61505030553332
7202110535061
oct36073125270
911380730252
104042042040
11179469a013
12949808848
134c555186a
142a4b79568
15189ccc145
hexf0ecaab8

4042042040 has 64 divisors (see below), whose sum is σ = 9423928800. Its totient is φ = 1558455808.

The previous prime is 4042042019. The next prime is 4042042049. The reversal of 4042042040 is 402402404.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042042049) 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 15 ways as a sum of consecutive naturals, for example, 782747 + ... + 787893.

Almost surely, 24042042040 is an apocalyptic number.

4042042040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042042040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4711964400).

4042042040 is an abundant number, since it is smaller than the sum of its proper divisors (5381886760).

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

4042042040 is a wasteful number, since it uses less digits than its factorization.

4042042040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5864 (or 5860 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 4042042040 is about 63577.0559242877. The cubic root of 4042042040 is about 1592.9431452172.

Adding to 4042042040 its reverse (402402404), we get a palindrome (4444444444).

The spelling of 4042042040 in words is "four billion, forty-two million, forty-two thousand, forty", and thus it is an eban number.

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 677 1160 1354 2708 3385 5147 5416 6770 10294 13540 19633 20588 25735 27080 39266 41176 51470 78532 98165 102940 149263 157064 196330 205880 298526 392660 597052 746315 785320 1194104 1492630 2985260 3484519 5970520 6969038 13938076 17422595 27876152 34845190 69690380 101051051 139380760 202102102 404204204 505255255 808408408 1010510510 2021021020 4042042040