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2426145642 = 23344928623
BaseRepresentation
bin1001000010011100…
…0000101101101010
320021002012222011000
42100213000231222
514432043130032
61040424415430
7114056616624
oct22047005552
96232188130
102426145642
111035550148
12578617576
132c884144b
14190307c14
15e2edce7c
hex909c0b6a

2426145642 has 16 divisors (see below), whose sum is σ = 5391434880. Its totient is φ = 808715196.

The previous prime is 2426145629. The next prime is 2426145647. The reversal of 2426145642 is 2465416242.

2426145642 is a `hidden beast` number, since 2 + 4 + 2 + 6 + 1 + 4 + 5 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2426145597 and 2426145606.

It is not an unprimeable number, because it can be changed into a prime (2426145647) 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, 22464258 + ... + 22464365.

It is an arithmetic number, because the mean of its divisors is an integer number (336964680).

Almost surely, 22426145642 is an apocalyptic number.

2426145642 is an abundant number, since it is smaller than the sum of its proper divisors (2965289238).

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

2426145642 is a wasteful number, since it uses less digits than its factorization.

2426145642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44928634 (or 44928628 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 2426145642 is about 49255.9198675652. The cubic root of 2426145642 is about 1343.7102273081.

The spelling of 2426145642 in words is "two billion, four hundred twenty-six million, one hundred forty-five thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 44928623 89857246 134785869 269571738 404357607 808715214 1213072821 2426145642