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82151325 = 325253832
BaseRepresentation
bin1001110010110…
…00011110011101
312201120201102200
410321120132131
5132012320300
612052442113
72015163144
oct471303635
9181521380
1082151325
1142410563
1223619339
1314034669
14aca675b
15732b200
hex4e5879d

82151325 has 54 divisors (see below), whose sum is σ = 151746426. Its totient is φ = 42469440.

The previous prime is 82151317. The next prime is 82151351. The reversal of 82151325 is 52315128.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 10478169 + 71673156 = 3237^2 + 8466^2 .

It is not a de Polignac number, because 82151325 - 23 = 82151317 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 989734 + ... + 989816.

It is an arithmetic number, because the mean of its divisors is an integer number (2810119).

Almost surely, 282151325 is an apocalyptic number.

It is an amenable number.

82151325 is a deficient number, since it is larger than the sum of its proper divisors (69595101).

82151325 is a wasteful number, since it uses less digits than its factorization.

82151325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 144 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 82151325 is about 9063.7368121542. The cubic root of 82151325 is about 434.7152317731.

The spelling of 82151325 in words is "eighty-two million, one hundred fifty-one thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 53 75 83 159 225 249 265 415 477 747 795 1245 1325 2075 2385 3735 3975 4399 6225 6889 11925 13197 18675 20667 21995 34445 39591 62001 65985 103335 109975 172225 197955 310005 329925 365117 516675 989775 1095351 1550025 1825585 3286053 5476755 9127925 16430265 27383775 82151325