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82409629 = 437126993
BaseRepresentation
bin1001110100101…
…11100010011101
312202001211202111
410322113202131
5132044102004
612102154021
72020320211
oct472274235
9182054674
1082409629
1142577635
1223722911
13140c50c3
14ad32941
15737ca04
hex4e9789d

82409629 has 8 divisors (see below), whose sum is σ = 85516992. Its totient is φ = 79356480.

The previous prime is 82409617. The next prime is 82409683. The reversal of 82409629 is 92690428.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-82409629 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82409591 and 82409600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82409699) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10444 + ... + 16549.

It is an arithmetic number, because the mean of its divisors is an integer number (10689624).

Almost surely, 282409629 is an apocalyptic number.

It is an amenable number.

82409629 is a deficient number, since it is larger than the sum of its proper divisors (3107363).

82409629 is a wasteful number, since it uses less digits than its factorization.

82409629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27107.

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 82409629 is about 9077.9749393794. The cubic root of 82409629 is about 435.1703723348.

It can be divided in two parts, 82409 and 629, that added together give a palindrome (83038).

The spelling of 82409629 in words is "eighty-two million, four hundred nine thousand, six hundred twenty-nine".

Divisors: 1 43 71 3053 26993 1160699 1916503 82409629