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82376217 = 3371139623
BaseRepresentation
bin1001110100011…
…11011000011001
312202000010221000
410322033120121
5132042014332
612101335213
72020120620
oct472173031
9182003830
1082376217
1142554520
1223707509
13140b2b31
14ad246b7
157372b7c
hex4e8f619

82376217 has 32 divisors (see below), whose sum is σ = 152156160. Its totient is φ = 42791760.

The previous prime is 82376159. The next prime is 82376219. The reversal of 82376217 is 71267328.

82376217 is a `hidden beast` number, since 8 + 23 + 7 + 621 + 7 = 666.

It is not a de Polignac number, because 82376217 - 28 = 82375961 is a prime.

It is a super-2 number, since 2×823762172 = 13571682254462178, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82376219) 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, 17733 + ... + 21890.

It is an arithmetic number, because the mean of its divisors is an integer number (4754880).

Almost surely, 282376217 is an apocalyptic number.

It is an amenable number.

82376217 is a deficient number, since it is larger than the sum of its proper divisors (69779943).

82376217 is a wasteful number, since it uses less digits than its factorization.

82376217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39650 (or 39644 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 82376217 is about 9076.1344745437. The cubic root of 82376217 is about 435.1115528412. Note that the first 3 decimals are identical.

Subtracting from 82376217 its reverse (71267328), we obtain a square (11108889 = 33332).

The spelling of 82376217 in words is "eighty-two million, three hundred seventy-six thousand, two hundred seventeen".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 39623 118869 277361 356607 435853 832083 1069821 1307559 2496249 3050971 3922677 7488747 9152913 11768031 27458739 82376217