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82087812 = 22327972861
BaseRepresentation
bin1001110010010…
…00111110000100
312201110111022100
410321020332010
5132003302222
612051232100
72014510032
oct471107604
9181414270
1082087812
1142377874
12235a8630
1314011791
14ac8b552
1573174ac
hex4e48f84

82087812 has 36 divisors (see below), whose sum is σ = 207832716. Its totient is φ = 27318720.

The previous prime is 82087799. The next prime is 82087813. The reversal of 82087812 is 21878028.

It can be written as a sum of positive squares in 2 ways, for example, as 42850116 + 39237696 = 6546^2 + 6264^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (82087813) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27262 + ... + 30122.

It is an arithmetic number, because the mean of its divisors is an integer number (5773131).

Almost surely, 282087812 is an apocalyptic number.

It is an amenable number.

82087812 is an abundant number, since it is smaller than the sum of its proper divisors (125744904).

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

82087812 is a wasteful number, since it uses less digits than its factorization.

82087812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3668 (or 3663 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 82087812 is about 9060.2324473492. The cubic root of 82087812 is about 434.6031735809.

The spelling of 82087812 in words is "eighty-two million, eighty-seven thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 797 1594 2391 2861 3188 4782 5722 7173 8583 9564 11444 14346 17166 25749 28692 34332 51498 102996 2280217 4560434 6840651 9120868 13681302 20521953 27362604 41043906 82087812