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82494412 = 227112131873
BaseRepresentation
bin1001110101011…
…00001111001100
312202020011001121
410322230033030
5132104310122
612104050324
72021122330
oct472541714
9182204047
1082494412
1142625300
12237639a4
1314124880
14ad557c0
157397bc7
hex4eac3cc

82494412 has 72 divisors (see below), whose sum is σ = 195405728. Its totient is φ = 29652480.

The previous prime is 82494397. The next prime is 82494437. The reversal of 82494412 is 21449428.

82494412 = T483 + T484 + ... + T846.

It is a super-2 number, since 2×824944122 = 13610656022451488, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43108 + ... + 44980.

Almost surely, 282494412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82494412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97702864).

82494412 is an abundant number, since it is smaller than the sum of its proper divisors (112911316).

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

82494412 is a wasteful number, since it uses less digits than its factorization.

82494412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1919 (or 1906 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The square root of 82494412 is about 9082.6434478075. The cubic root of 82494412 is about 435.3195555667.

It can be divided in two parts, 82 and 494412, that added together give a palindrome (494494).

The spelling of 82494412 in words is "eighty-two million, four hundred ninety-four thousand, four hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 121 143 154 182 242 286 308 364 484 572 847 1001 1573 1694 1873 2002 3146 3388 3746 4004 6292 7492 11011 13111 20603 22022 24349 26222 41206 44044 48698 52444 82412 97396 144221 170443 226633 267839 288442 340886 453266 535678 576884 681772 906532 1071356 1586431 1874873 2946229 3172862 3749746 5892458 6345724 7499492 11784916 20623603 41247206 82494412