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82193925 = 35211671487
BaseRepresentation
bin1001110011000…
…10111000000101
312201122212212110
410321202320011
5132020201200
612053411233
72015431302
oct471427005
9181585773
1082193925
114243a570
1223639b19
131404ab78
14acb80a9
157338b50
hex4e62e05

82193925 has 48 divisors (see below), whose sum is σ = 150561792. Its totient is φ = 39230400.

The previous prime is 82193921. The next prime is 82193959. The reversal of 82193925 is 52939128.

It is not a de Polignac number, because 82193925 - 22 = 82193921 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82193921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54532 + ... + 56018.

It is an arithmetic number, because the mean of its divisors is an integer number (3136704).

Almost surely, 282193925 is an apocalyptic number.

It is an amenable number.

82193925 is a deficient number, since it is larger than the sum of its proper divisors (68367867).

82193925 is a wasteful number, since it uses less digits than its factorization.

82193925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1573 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 82193925 is about 9066.0865316850. The cubic root of 82193925 is about 434.7903600756.

The spelling of 82193925 in words is "eighty-two million, one hundred ninety-three thousand, nine hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 67 75 165 201 275 335 737 825 1005 1487 1675 2211 3685 4461 5025 7435 11055 16357 18425 22305 37175 49071 55275 81785 99629 111525 245355 298887 408925 498145 1095919 1226775 1494435 2490725 3287757 5479595 7472175 16438785 27397975 82193925