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82740501 = 334121823
BaseRepresentation
bin1001110111010…
…00010100010101
312202200122122000
410323220110111
5132140144001
612113225513
72023165644
oct473502425
9182618560
1082740501
1142783188
1223862299
13141ac89c
14adbb35b
1573e5a86
hex4ee8515

82740501 has 24 divisors (see below), whose sum is σ = 125710080. Its totient is φ = 53785440.

The previous prime is 82740467. The next prime is 82740503. The reversal of 82740501 is 10504728.

It is not a de Polignac number, because 82740501 - 29 = 82739989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82740503) 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 23 ways as a sum of consecutive naturals, for example, 44476 + ... + 46298.

It is an arithmetic number, because the mean of its divisors is an integer number (5237920).

Almost surely, 282740501 is an apocalyptic number.

It is an amenable number.

82740501 is a deficient number, since it is larger than the sum of its proper divisors (42969579).

82740501 is a wasteful number, since it uses less digits than its factorization.

82740501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 82740501 is about 9096.1805720863. The cubic root of 82740501 is about 435.7519929640.

It can be divided in two parts, 827 and 40501, that added together give a triangular number (41328 = T287).

The spelling of 82740501 in words is "eighty-two million, seven hundred forty thousand, five hundred one".

Divisors: 1 3 9 27 41 123 369 1107 1681 1823 5043 5469 15129 16407 45387 49221 74743 224229 672687 2018061 3064463 9193389 27580167 82740501