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83927440 = 2451049093
BaseRepresentation
bin1010000000010…
…10000110010000
312211220221210201
411000022012100
5132441134230
612154504544
72036241262
oct500120620
9184827721
1083927440
1143413a23
1224135154
1314506c0c
14b209b32
15757c5ca
hex500a190

83927440 has 20 divisors (see below), whose sum is σ = 195131484. Its totient is φ = 33570944.

The previous prime is 83927423. The next prime is 83927449. The reversal of 83927440 is 4472938.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 59166864 + 24760576 = 7692^2 + 4976^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 83927440.

It is not an unprimeable number, because it can be changed into a prime (83927449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 524467 + ... + 524626.

Almost surely, 283927440 is an apocalyptic number.

83927440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83927440 is an abundant number, since it is smaller than the sum of its proper divisors (111204044).

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

83927440 is a wasteful number, since it uses less digits than its factorization.

83927440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049106 (or 1049100 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 83927440 is about 9161.1920621718. The cubic root of 83927440 is about 437.8257753171.

The spelling of 83927440 in words is "eighty-three million, nine hundred twenty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1049093 2098186 4196372 5245465 8392744 10490930 16785488 20981860 41963720 83927440