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82083969 = 33111911447
BaseRepresentation
bin1001110010010…
…00000010000001
312201110022001000
410321020002001
5132003141334
612051202213
72014462602
oct471100201
9181408030
1082083969
11423749a0
12235a6369
131400cac6
14ac89da9
157316299
hex4e48081

82083969 has 32 divisors (see below), whose sum is σ = 133447680. Its totient is φ = 49453200.

The previous prime is 82083959. The next prime is 82083977. The reversal of 82083969 is 96938028.

It is not a de Polignac number, because 82083969 - 28 = 82083713 is a prime.

It is a super-2 number, since 2×820839692 = 13475555933585922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82083919) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56004 + ... + 57450.

It is an arithmetic number, because the mean of its divisors is an integer number (4170240).

Almost surely, 282083969 is an apocalyptic number.

It is an amenable number.

82083969 is a deficient number, since it is larger than the sum of its proper divisors (51363711).

82083969 is a wasteful number, since it uses less digits than its factorization.

82083969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 82083969 is about 9060.0203642155. The cubic root of 82083969 is about 434.5963913883.

The spelling of 82083969 in words is "eighty-two million, eighty-three thousand, nine hundred sixty-nine".

Divisors: 1 3 9 11 27 33 99 191 297 573 1447 1719 2101 4341 5157 6303 13023 15917 18909 39069 47751 56727 143253 276377 429759 829131 2487393 3040147 7462179 9120441 27361323 82083969