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83296386 = 232231731163
BaseRepresentation
bin1001111011100…
…00000010000010
312210201220011100
410331300002002
5132310441021
612133155230
72031002415
oct475600202
9183656140
1083296386
1143022898
1223a8bb16
1314345904
14b0c3b7c
1574a5626
hex4f70082

83296386 has 48 divisors (see below), whose sum is σ = 189573696. Its totient is φ = 26382048.

The previous prime is 83296373. The next prime is 83296387. The reversal of 83296386 is 68369238.

83296386 is a `hidden beast` number, since 8 + 3 + 2 + 9 + 638 + 6 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (83296387) 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, 71041 + ... + 72203.

It is an arithmetic number, because the mean of its divisors is an integer number (3949452).

Almost surely, 283296386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83296386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94786848).

83296386 is an abundant number, since it is smaller than the sum of its proper divisors (106277310).

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

83296386 is a wasteful number, since it uses less digits than its factorization.

83296386 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1364 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 83296386 is about 9126.6853786027. The cubic root of 83296386 is about 436.7256698883.

The spelling of 83296386 in words is "eighty-three million, two hundred ninety-six thousand, three hundred eighty-six".

Divisors: 1 2 3 6 9 18 23 46 69 138 173 207 346 414 519 1038 1163 1557 2326 3114 3489 3979 6978 7958 10467 11937 20934 23874 26749 35811 53498 71622 80247 160494 201199 240741 402398 481482 603597 1207194 1810791 3621582 4627577 9255154 13882731 27765462 41648193 83296386