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84381825 = 35211234447
BaseRepresentation
bin1010000011110…
…01000010000001
312212210001002210
411001321002001
5133100204300
612212332333
72043143103
oct501710201
9185701083
1084381825
11436a4350
12243140a9
1314635998
14b2c7573
15761c050
hex5079081

84381825 has 48 divisors (see below), whose sum is σ = 158846976. Its totient is φ = 39124800.

The previous prime is 84381821. The next prime is 84381833. The reversal of 84381825 is 52818348.

It is not a de Polignac number, because 84381825 - 22 = 84381821 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84381821) 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, 16752 + ... + 21198.

It is an arithmetic number, because the mean of its divisors is an integer number (3309312).

Almost surely, 284381825 is an apocalyptic number.

It is an amenable number.

84381825 is a deficient number, since it is larger than the sum of its proper divisors (74465151).

84381825 is a wasteful number, since it uses less digits than its factorization.

84381825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4494 (or 4489 counting only the distinct ones).

The product of its digits is 61440, while the sum is 39.

The square root of 84381825 is about 9185.9580338689. The cubic root of 84381825 is about 438.6144864404.

The spelling of 84381825 in words is "eighty-four million, three hundred eighty-one thousand, eight hundred twenty-five".

Divisors: 1 3 5 11 15 23 25 33 55 69 75 115 165 253 275 345 575 759 825 1265 1725 3795 4447 6325 13341 18975 22235 48917 66705 102281 111175 146751 244585 306843 333525 511405 733755 1125091 1222925 1534215 2557025 3375273 3668775 5625455 7671075 16876365 28127275 84381825