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82397417 = 4371137197
BaseRepresentation
bin1001110100101…
…00100011101001
312202001020000012
410322110203221
5132043204132
612102021305
72020236464
oct472244351
9182036005
1082397417
1142569443
1223717835
13140bc68b
14ad2c2db
1573790b2
hex4e948e9

82397417 has 16 divisors (see below), whose sum is σ = 86562432. Its totient is φ = 78368640.

The previous prime is 82397389. The next prime is 82397423. The reversal of 82397417 is 71479328.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-82397417 is a prime.

It is a Duffinian number.

Its product of digits (84672) is a multiple of the sum of its prime divisors (448).

It is not an unprimeable number, because it can be changed into a prime (82397437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 418163 + ... + 418359.

It is an arithmetic number, because the mean of its divisors is an integer number (5410152).

Almost surely, 282397417 is an apocalyptic number.

It is an amenable number.

82397417 is a deficient number, since it is larger than the sum of its proper divisors (4165015).

82397417 is a wasteful number, since it uses less digits than its factorization.

82397417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448.

The product of its digits is 84672, while the sum is 41.

The square root of 82397417 is about 9077.3022974891. The cubic root of 82397417 is about 435.1488758051.

The spelling of 82397417 in words is "eighty-two million, three hundred ninety-seven thousand, four hundred seventeen".

Divisors: 1 43 71 137 197 3053 5891 8471 9727 13987 26989 418261 601441 1160527 1916219 82397417