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82083768 = 23313263089
BaseRepresentation
bin1001110010001…
…11111110111000
312201110021202120
410321013332320
5132003140033
612051201240
72014462164
oct471077670
9181407676
1082083768
1142374828
12235a6220
131400c9a0
14ac89ca4
1573161b3
hex4e47fb8

82083768 has 32 divisors (see below), whose sum is σ = 220995600. Its totient is φ = 25256448.

The previous prime is 82083731. The next prime is 82083773. The reversal of 82083768 is 86738028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131233 + ... + 131856.

Almost surely, 282083768 is an apocalyptic number.

It is an amenable number.

82083768 is an abundant number, since it is smaller than the sum of its proper divisors (138911832).

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

82083768 is a wasteful number, since it uses less digits than its factorization.

82083768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263111 (or 263107 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 82083768 is about 9060.0092715184. The cubic root of 82083768 is about 434.5960366542.

The spelling of 82083768 in words is "eighty-two million, eighty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 263089 526178 789267 1052356 1578534 2104712 3157068 3420157 6314136 6840314 10260471 13680628 20520942 27361256 41041884 82083768