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4042582544 = 2471113252409
BaseRepresentation
bin1111000011110100…
…1110101000010000
3101102201211110201102
43300331032220100
531234400120134
61505050323532
7202115245640
oct36075165020
911381743642
104042582544
111794a29110
12949a295a8
134c56b08a0
142a4c7a520
15189d8737e
hexf0f4ea10

4042582544 has 80 divisors (see below), whose sum is σ = 10516410240. Its totient is φ = 1453870080.

The previous prime is 4042582529. The next prime is 4042582547. The reversal of 4042582544 is 4452852404.

It is a junction number, because it is equal to n+sod(n) for n = 4042582498 and 4042582507.

It is not an unprimeable number, because it can be changed into a prime (4042582547) 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, 110189 + ... + 142220.

It is an arithmetic number, because the mean of its divisors is an integer number (131455128).

Almost surely, 24042582544 is an apocalyptic number.

4042582544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4042582544 is an abundant number, since it is smaller than the sum of its proper divisors (6473827696).

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

4042582544 is a wasteful number, since it uses less digits than its factorization.

4042582544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252448 (or 252442 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 38.

The square root of 4042582544 is about 63581.3065609696. The cubic root of 4042582544 is about 1593.0141451193.

The spelling of 4042582544 in words is "four billion, forty-two million, five hundred eighty-two thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 286 308 364 572 616 728 1001 1144 1232 1456 2002 2288 4004 8008 16016 252409 504818 1009636 1766863 2019272 2776499 3281317 3533726 4038544 5552998 6562634 7067452 11105996 13125268 14134904 19435493 22211992 22969219 26250536 28269808 36094487 38870986 44423984 45938438 52501072 72188974 77741972 91876876 144377948 155483944 183753752 252661409 288755896 310967888 367507504 505322818 577511792 1010645636 2021291272 4042582544