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82146325 = 5215720929
BaseRepresentation
bin1001110010101…
…11010000010101
312201120110120111
410321113100111
5132012140300
612052403021
72015142442
oct471272025
9181513514
1082146325
1142407828
1223616471
13140322c1
14aca49c9
1573299ba
hex4e57415

82146325 has 12 divisors (see below), whose sum is σ = 102515140. Its totient is φ = 65295360.

The previous prime is 82146319. The next prime is 82146331. The reversal of 82146325 is 52364128.

It is an interprime number because it is at equal distance from previous prime (82146319) and next prime (82146331).

It can be written as a sum of positive squares in 6 ways, for example, as 4036081 + 78110244 = 2009^2 + 8838^2 .

It is a de Polignac number, because none of the positive numbers 2k-82146325 is a prime.

It is a super-2 number, since 2×821463252 = 13496037422011250, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6540 + ... + 14389.

Almost surely, 282146325 is an apocalyptic number.

It is an amenable number.

82146325 is a deficient number, since it is larger than the sum of its proper divisors (20368815).

82146325 is a wasteful number, since it uses less digits than its factorization.

82146325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21096 (or 21091 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

The square root of 82146325 is about 9063.4609835316. The cubic root of 82146325 is about 434.7064121943.

The spelling of 82146325 in words is "eighty-two million, one hundred forty-six thousand, three hundred twenty-five".

Divisors: 1 5 25 157 785 3925 20929 104645 523225 3285853 16429265 82146325