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82554825 = 3522574283
BaseRepresentation
bin1001110101110…
…10111111001001
312202100012221010
410322322333021
5132113223300
612105234133
72021463423
oct472727711
9182305833
1082554825
1142666731
1223792949
1314146212
14ad6d813
1573aaa50
hex4ebafc9

82554825 has 24 divisors (see below), whose sum is σ = 137053728. Its totient is φ = 43847680.

The previous prime is 82554817. The next prime is 82554827. The reversal of 82554825 is 52845528.

82554825 = T290 + T291 + ... + T803.

82554825 is a nontrivial binomial coefficient, being equal to C(12850, 2).

It is not a de Polignac number, because 82554825 - 23 = 82554817 is a prime.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (82554827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17134 + ... + 21416.

It is an arithmetic number, because the mean of its divisors is an integer number (5710572).

Almost surely, 282554825 is an apocalyptic number.

82554825 is the 12849-th triangular number and also the 6425-th hexagonal number.

It is an amenable number.

82554825 is a deficient number, since it is larger than the sum of its proper divisors (54498903).

82554825 is a wasteful number, since it uses less digits than its factorization.

82554825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4553 (or 4548 counting only the distinct ones).

The product of its digits is 128000, while the sum is 39.

The square root of 82554825 is about 9085.9685779778. The cubic root of 82554825 is about 435.4257952600.

The spelling of 82554825 in words is "eighty-two million, five hundred fifty-four thousand, eight hundred twenty-five".

Divisors: 1 3 5 15 25 75 257 771 1285 3855 4283 6425 12849 19275 21415 64245 107075 321225 1100731 3302193 5503655 16510965 27518275 82554825