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82741672 = 23132334591
BaseRepresentation
bin1001110111010…
…00100110101000
312202200201020101
410323220212220
5132140213142
612113235144
72023202236
oct473504650
9182621211
1082741672
1142784052
1223862ab4
13141b0290
14adbb956
1573e60b7
hex4ee89a8

82741672 has 32 divisors (see below), whose sum is σ = 174343680. Its totient is φ = 36527040.

The previous prime is 82741627. The next prime is 82741691. The reversal of 82741672 is 27614728.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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, 14904 + ... + 19687.

It is an arithmetic number, because the mean of its divisors is an integer number (5448240).

Almost surely, 282741672 is an apocalyptic number.

It is an amenable number.

82741672 is an abundant number, since it is smaller than the sum of its proper divisors (91602008).

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

82741672 is a wasteful number, since it uses less digits than its factorization.

82741672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34633 (or 34629 counting only the distinct ones).

The product of its digits is 37632, while the sum is 37.

The square root of 82741672 is about 9096.2449395341. The cubic root of 82741672 is about 435.7540486408.

The spelling of 82741672 in words is "eighty-two million, seven hundred forty-one thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 299 598 1196 2392 34591 69182 138364 276728 449683 795593 899366 1591186 1798732 3182372 3597464 6364744 10342709 20685418 41370836 82741672