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82424020 = 2257588743
BaseRepresentation
bin1001110100110…
…11000011010100
312202002120111111
410322123003110
5132100032040
612102344404
72020410160
oct472330324
9182076444
1082424020
1142587428
122372b104
13140cb813
14ad37ca0
157381dea
hex4e9b0d4

82424020 has 24 divisors (see below), whose sum is σ = 197817984. Its totient is φ = 28259616.

The previous prime is 82424011. The next prime is 82424029. The reversal of 82424020 is 2042428.

It is an interprime number because it is at equal distance from previous prime (82424011) and next prime (82424029).

It is a junction number, because it is equal to n+sod(n) for n = 82423982 and 82424000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82424029) 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 7 ways as a sum of consecutive naturals, for example, 294232 + ... + 294511.

It is an arithmetic number, because the mean of its divisors is an integer number (8242416).

Almost surely, 282424020 is an apocalyptic number.

It is an amenable number.

82424020 is an abundant number, since it is smaller than the sum of its proper divisors (115393964).

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

82424020 is a wasteful number, since it uses less digits than its factorization.

82424020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588759 (or 588757 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 82424020 is about 9078.7675375020. The cubic root of 82424020 is about 435.1957017872.

Adding to 82424020 its reverse (2042428), we get a palindrome (84466448).

The spelling of 82424020 in words is "eighty-two million, four hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 588743 1177486 2354972 2943715 4121201 5887430 8242402 11774860 16484804 20606005 41212010 82424020