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4142882080 = 25525893013
BaseRepresentation
bin1111011011101111…
…0101110100100000
3101200201120012211001
43312323311310200
531441034211310
61523032201344
7204443626261
oct36673656440
911621505731
104142882080
111836604697
12977539254
135103ca81c
142b4308968
15193a9a93a
hexf6ef5d20

4142882080 has 24 divisors (see below), whose sum is σ = 9787559292. Its totient is φ = 1657152768.

The previous prime is 4142882077. The next prime is 4142882083. The reversal of 4142882080 is 802882414.

It is an interprime number because it is at equal distance from previous prime (4142882077) and next prime (4142882083).

It can be written as a sum of positive squares in 2 ways, for example, as 3874315536 + 268566544 = 62244^2 + 16388^2 .

It is not an unprimeable number, because it can be changed into a prime (4142882083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12946347 + ... + 12946666.

Almost surely, 24142882080 is an apocalyptic number.

4142882080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4142882080 is an abundant number, since it is smaller than the sum of its proper divisors (5644677212).

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

4142882080 is a wasteful number, since it uses less digits than its factorization.

4142882080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25893028 (or 25893020 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 37.

The square root of 4142882080 is about 64365.2241509342. The cubic root of 4142882080 is about 1606.0812943779.

The spelling of 4142882080 in words is "four billion, one hundred forty-two million, eight hundred eighty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 25893013 51786026 103572052 129465065 207144104 258930130 414288208 517860260 828576416 1035720520 2071441040 4142882080