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83076822 = 23229167953
BaseRepresentation
bin1001111001110…
…10011011010110
312210022201222100
410330322123112
5132231424242
612124342530
72026066323
oct474723326
9183281870
1083076822
1142992934
12239a4a46
13142999aa
14b067b4a
15746054c
hex4f3a6d6

83076822 has 48 divisors (see below), whose sum is σ = 187518240. Its totient is φ = 26549376.

The previous prime is 83076781. The next prime is 83076827. The reversal of 83076822 is 22867038.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83076827) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86698 + ... + 87650.

It is an arithmetic number, because the mean of its divisors is an integer number (3906630).

Almost surely, 283076822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83076822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93759120).

83076822 is an abundant number, since it is smaller than the sum of its proper divisors (104441418).

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

83076822 is a wasteful number, since it uses less digits than its factorization.

83076822 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 83076822 is about 9114.6487590033. The cubic root of 83076822 is about 436.3416051614.

It can be divided in two parts, 8307 and 6822, that added together give a square (15129 = 1232).

The spelling of 83076822 in words is "eighty-three million, seventy-six thousand, eight hundred twenty-two".

Divisors: 1 2 3 6 9 18 29 58 87 167 174 261 334 501 522 953 1002 1503 1906 2859 3006 4843 5718 8577 9686 14529 17154 27637 29058 43587 55274 82911 87174 159151 165822 248733 318302 477453 497466 954906 1432359 2864718 4615379 9230758 13846137 27692274 41538411 83076822