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82333329 = 31317124183
BaseRepresentation
bin1001110100001…
…00111010010001
312201220222002120
410322010322101
5132034131304
612100404453
72016551601
oct472047221
9181828076
1082333329
1142525281
12236a6729
1314099460
14ad12c01
1573650d9
hex4e84e91

82333329 has 16 divisors (see below), whose sum is σ = 125177472. Its totient is φ = 47685888.

The previous prime is 82333319. The next prime is 82333333. The reversal of 82333329 is 92333328.

It is not a de Polignac number, because 82333329 - 25 = 82333297 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 82333329.

It is not an unprimeable number, because it can be changed into a prime (82333319) 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, 61429 + ... + 62754.

It is an arithmetic number, because the mean of its divisors is an integer number (7823592).

Almost surely, 282333329 is an apocalyptic number.

It is an amenable number.

82333329 is a deficient number, since it is larger than the sum of its proper divisors (42844143).

82333329 is a wasteful number, since it uses less digits than its factorization.

82333329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124216.

The product of its digits is 23328, while the sum is 33.

The square root of 82333329 is about 9073.7714870940. The cubic root of 82333329 is about 435.0360281958.

Subtracting 82333329 from its reverse (92333328), we obtain a palindrome (9999999).

The spelling of 82333329 in words is "eighty-two million, three hundred thirty-three thousand, three hundred twenty-nine".

Divisors: 1 3 13 17 39 51 221 663 124183 372549 1614379 2111111 4843137 6333333 27444443 82333329