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82916768 = 2511235559
BaseRepresentation
bin1001111000100…
…11010110100000
312210000121102102
410330103112200
5132211314033
612121105532
72024531564
oct474232640
9183017372
1082916768
1142893660
12239282a8
1314241b9c
14b0256a4
15742cde8
hex4f135a0

82916768 has 24 divisors (see below), whose sum is σ = 178083360. Its totient is φ = 37689280.

The previous prime is 82916759. The next prime is 82916791. The reversal of 82916768 is 86761928.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 117428 + ... + 118131.

It is an arithmetic number, because the mean of its divisors is an integer number (7420140).

Almost surely, 282916768 is an apocalyptic number.

82916768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82916768 is an abundant number, since it is smaller than the sum of its proper divisors (95166592).

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

82916768 is a wasteful number, since it uses less digits than its factorization.

82916768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235580 (or 235572 counting only the distinct ones).

The product of its digits is 290304, while the sum is 47.

The square root of 82916768 is about 9105.8644839466. The cubic root of 82916768 is about 436.0612095980.

The spelling of 82916768 in words is "eighty-two million, nine hundred sixteen thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 235559 471118 942236 1884472 2591149 3768944 5182298 7537888 10364596 20729192 41458384 82916768