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825010893 = 3372623591
BaseRepresentation
bin110001001011001…
…010101011001101
32010111101220012000
4301023022223031
53142200322033
6213510502513
726305322400
oct6113125315
92114356160
10825010893
11393773993
121b0364a39
13101bcc035
147b7d9d37
154c667a13
hex312caacd

825010893 has 24 divisors (see below), whose sum is σ = 1421789760. Its totient is φ = 471434040.

The previous prime is 825010889. The next prime is 825010931. The reversal of 825010893 is 398010528.

825010893 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 825010893 - 22 = 825010889 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825010873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310473 + ... + 313118.

It is an arithmetic number, because the mean of its divisors is an integer number (59241240).

Almost surely, 2825010893 is an apocalyptic number.

It is an amenable number.

825010893 is a deficient number, since it is larger than the sum of its proper divisors (596778867).

825010893 is a wasteful number, since it uses less digits than its factorization.

825010893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623614 (or 623601 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 825010893 is about 28723.0028548549. The cubic root of 825010893 is about 937.8928555125.

The spelling of 825010893 in words is "eight hundred twenty-five million, ten thousand, eight hundred ninety-three".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1323 623591 1870773 4365137 5612319 13095411 16836957 30555959 39286233 91667877 117858699 275003631 825010893