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2442882442 = 2711132335237
BaseRepresentation
bin1001000110011011…
…0110110110001010
320022020201021201111
42101212312312022
520000334214232
61042223240534
7114352105150
oct22146666612
96266637644
102442882442
111043a41810
1258214914a
132cc151490
141926233d0
15e46e7047
hex919b6d8a

2442882442 has 64 divisors (see below), whose sum is σ = 4941990144. Its totient is φ = 874621440.

The previous prime is 2442882437. The next prime is 2442882451.

It is a happy number.

2442882442 is nontrivially palindromic in base 10.

2442882442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 2442882395 and 2442882404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 463848 + ... + 469084.

It is an arithmetic number, because the mean of its divisors is an integer number (77218596).

Almost surely, 22442882442 is an apocalyptic number.

2442882442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2442882442 is an abundant number, since it is smaller than the sum of its proper divisors (2499107702).

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

2442882442 is a wasteful number, since it uses less digits than its factorization.

2442882442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5503.

The product of its digits is 262144, while the sum is 40.

The square root of 2442882442 is about 49425.5241955004. The cubic root of 2442882442 is about 1346.7930172460.

The spelling of 2442882442 in words is "two billion, four hundred forty-two million, eight hundred eighty-two thousand, four hundred forty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 233 286 466 1001 1631 2002 2563 3029 3262 5126 5237 6058 10474 17941 21203 33319 35882 36659 42406 57607 66638 68081 73318 115214 136162 233233 403249 466466 476567 748891 806498 953134 1220221 1497782 2440442 5242237 8541547 10484474 13422431 15862873 17083094 26844862 31725746 93957017 111040111 174491603 187914034 222080222 348983206 1221441221 2442882442