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82750008 = 233113071021
BaseRepresentation
bin1001110111010…
…10101000111000
312202201010200010
410323222220320
5132141000013
612113341520
72023235445
oct473525070
9182633603
1082750008
114278a340
12238678a0
13141b4003
14adc09cc
1573e87c3
hex4eeaa38

82750008 has 64 divisors (see below), whose sum is σ = 226638720. Its totient is φ = 24969600.

The previous prime is 82749991. The next prime is 82750009. The reversal of 82750008 is 80005728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82750009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80538 + ... + 81558.

It is an arithmetic number, because the mean of its divisors is an integer number (3541230).

Almost surely, 282750008 is an apocalyptic number.

82750008 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82750008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113319360).

82750008 is an abundant number, since it is smaller than the sum of its proper divisors (143888712).

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

82750008 is a wasteful number, since it uses less digits than its factorization.

82750008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 82750008 is about 9096.7031390499. The cubic root of 82750008 is about 435.7686818306.

The spelling of 82750008 in words is "eighty-two million, seven hundred fifty thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 307 614 921 1021 1228 1842 2042 2456 3063 3377 3684 4084 6126 6754 7368 8168 10131 11231 12252 13508 20262 22462 24504 27016 33693 40524 44924 67386 81048 89848 134772 269544 313447 626894 940341 1253788 1880682 2507576 3447917 3761364 6895834 7522728 10343751 13791668 20687502 27583336 41375004 82750008