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82435794 = 2371925437
BaseRepresentation
bin1001110100111…
…01111011010010
312202010011122120
410322131323102
5132100421134
612102515110
72020456410
oct472357322
9182104576
1082435794
1142595261
1223735a96
1314103c9c
14ad3c2b0
157385649
hex4e9ded2

82435794 has 48 divisors (see below), whose sum is σ = 198900288. Its totient is φ = 22309344.

The previous prime is 82435781. The next prime is 82435799. The reversal of 82435794 is 49753428.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (82435799) 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, 12444 + ... + 17880.

It is an arithmetic number, because the mean of its divisors is an integer number (4143756).

Almost surely, 282435794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82435794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99450144).

82435794 is an abundant number, since it is smaller than the sum of its proper divisors (116464494).

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

82435794 is a wasteful number, since it uses less digits than its factorization.

82435794 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5487 (or 5468 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 82435794 is about 9079.4159503792. The cubic root of 82435794 is about 435.2164228919.

The spelling of 82435794 in words is "eighty-two million, four hundred thirty-five thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 361 399 722 798 1083 2166 2527 5054 5437 7581 10874 15162 16311 32622 38059 76118 103303 114177 206606 228354 309909 619818 723121 1446242 1962757 2169363 3925514 4338726 5888271 11776542 13739299 27478598 41217897 82435794