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82146973 = 734612441
BaseRepresentation
bin1001110010101…
…11011010011101
312201120111110111
410321113122131
5132012200343
612052410021
72015144356
oct471273235
9181514414
1082146973
1142408267
1223616911
131403269c
14aca4d2d
157329c9d
hex4e5769d

82146973 has 8 divisors (see below), whose sum is σ = 83487096. Its totient is φ = 80812800.

The previous prime is 82146971. The next prime is 82146991. The reversal of 82146973 is 37964128.

It can be written as a sum of positive squares in 4 ways, for example, as 822649 + 81324324 = 907^2 + 9018^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82146973 - 21 = 82146971 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82146971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32433 + ... + 34873.

It is an arithmetic number, because the mean of its divisors is an integer number (10435887).

Almost surely, 282146973 is an apocalyptic number.

It is an amenable number.

82146973 is a deficient number, since it is larger than the sum of its proper divisors (1340123).

82146973 is a wasteful number, since it uses less digits than its factorization.

82146973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975.

The product of its digits is 72576, while the sum is 40.

The square root of 82146973 is about 9063.4967313946. The cubic root of 82146973 is about 434.7075552319.

The spelling of 82146973 in words is "eighty-two million, one hundred forty-six thousand, nine hundred seventy-three".

Divisors: 1 73 461 2441 33653 178193 1125301 82146973