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82412430 = 23517283571
BaseRepresentation
bin1001110100110…
…00001110001110
312202001222121020
410322120032032
5132044144210
612102215010
72020331322
oct472301616
9182058536
1082412430
1142579751
1223724466
13140c6469
14ad33982
15737d770
hex4e9838e

82412430 has 64 divisors (see below), whose sum is σ = 210532608. Its totient is φ = 20574720.

The previous prime is 82412423. The next prime is 82412437. The reversal of 82412430 is 3421428.

It is an interprime number because it is at equal distance from previous prime (82412423) and next prime (82412437).

It is a self number, because there is not a number n which added to its sum of digits gives 82412430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82412437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144045 + ... + 144615.

It is an arithmetic number, because the mean of its divisors is an integer number (3289572).

Almost surely, 282412430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82412430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105266304).

82412430 is an abundant number, since it is smaller than the sum of its proper divisors (128120178).

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

82412430 is a wasteful number, since it uses less digits than its factorization.

82412430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 82412430 is about 9078.1292125636. The cubic root of 82412430 is about 435.1753025775.

Adding to 82412430 its reverse (3421428), we get a palindrome (85833858).

The spelling of 82412430 in words is "eighty-two million, four hundred twelve thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 283 510 566 571 849 1142 1415 1698 1713 2830 2855 3426 4245 4811 5710 8490 8565 9622 9707 14433 17130 19414 24055 28866 29121 48110 48535 58242 72165 97070 144330 145605 161593 291210 323186 484779 807965 969558 1615930 2423895 2747081 4847790 5494162 8241243 13735405 16482486 27470810 41206215 82412430