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82014894 = 23213463757
BaseRepresentation
bin1001110001101…
…11001010101110
312201022210021200
410320313022232
5131443434034
612045510330
72014054323
oct470671256
9181283250
1082014894
1142328005
12235723a6
1313cb7530
14ac6cb4a
157300a99
hex4e372ae

82014894 has 48 divisors (see below), whose sum is σ = 192034752. Its totient is φ = 25147584.

The previous prime is 82014893. The next prime is 82014899. The reversal of 82014894 is 49841028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82014893) 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, 107964 + ... + 108720.

It is an arithmetic number, because the mean of its divisors is an integer number (4000724).

Almost surely, 282014894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82014894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96017376).

82014894 is an abundant number, since it is smaller than the sum of its proper divisors (110019858).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82014894 is a wasteful number, since it uses less digits than its factorization.

82014894 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 82014894 is about 9056.2074843723. The cubic root of 82014894 is about 434.4744505240.

The spelling of 82014894 in words is "eighty-two million, fourteen thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 463 757 926 1389 1514 2271 2778 4167 4542 6019 6813 8334 9841 12038 13626 18057 19682 29523 36114 54171 59046 88569 108342 177138 350491 700982 1051473 2102946 3154419 4556383 6308838 9112766 13669149 27338298 41007447 82014894