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2426116242 = 231136759337
BaseRepresentation
bin1001000010011011…
…1001100010010010
320021002011110211010
42100212321202102
514432041204432
61040424031350
7114056435124
oct22046714222
96232143733
102426116242
111035530050
12578602556
132c8830c54
141902db214
15e2ed43cc
hex909b9892

2426116242 has 16 divisors (see below), whose sum is σ = 5293344672. Its totient is φ = 735186720.

The previous prime is 2426116241. The next prime is 2426116243.

2426116242 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2426116241) and next prime (2426116243).

It is a super-3 number, since 3×24261162423 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2426116241) 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 7 ways as a sum of consecutive naturals, for example, 18379603 + ... + 18379734.

It is an arithmetic number, because the mean of its divisors is an integer number (330834042).

Almost surely, 22426116242 is an apocalyptic number.

2426116242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2426116242 is an abundant number, since it is smaller than the sum of its proper divisors (2867228430).

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

2426116242 is a wasteful number, since it uses less digits than its factorization.

2426116242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36759353.

The product of its digits is 9216, while the sum is 30.

The square root of 2426116242 is about 49255.6214253764. The cubic root of 2426116242 is about 1343.7047995988.

The spelling of 2426116242 in words is "two billion, four hundred twenty-six million, one hundred sixteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 36759337 73518674 110278011 220556022 404352707 808705414 1213058121 2426116242