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82318236 = 223721121389
BaseRepresentation
bin1001110100000…
…01001110011100
312201220012101120
410322001032130
5132033140421
612100210540
72016456600
oct472011634
9181805346
1082318236
1142514a00
1223699a50
1314092620
14ad0b500
1573608c6
hex4e8139c

82318236 has 216 divisors, whose sum is σ = 267457680. Its totient is φ = 19514880.

The previous prime is 82318189. The next prime is 82318253. The reversal of 82318236 is 63281328.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 82318197 and 82318206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 924880 + ... + 924968.

It is an arithmetic number, because the mean of its divisors is an integer number (1238230).

Almost surely, 282318236 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82318236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133728840).

82318236 is an abundant number, since it is smaller than the sum of its proper divisors (185139444).

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

82318236 is a wasteful number, since it uses less digits than its factorization.

82318236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 125 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 82318236 is about 9072.9397661397. The cubic root of 82318236 is about 435.0094435788.

The spelling of 82318236 in words is "eighty-two million, three hundred eighteen thousand, two hundred thirty-six".