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82739304 = 23321149157
BaseRepresentation
bin1001110111010…
…00000001101000
312202200120222200
410323220001220
5132140124204
612113220200
72023162314
oct473500150
9182616880
1082739304
114278229a
1223861660
13141ac18b
14adbab44
1573e5539
hex4ee8068

82739304 has 24 divisors (see below), whose sum is σ = 224085810. Its totient is φ = 27579744.

The previous prime is 82739287. The next prime is 82739329. The reversal of 82739304 is 40393728.

It can be written as a sum of positive squares in only one way, i.e., 44916804 + 37822500 = 6702^2 + 6150^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 574507 + ... + 574650.

Almost surely, 282739304 is an apocalyptic number.

It is an amenable number.

82739304 is an abundant number, since it is smaller than the sum of its proper divisors (141346506).

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

82739304 is a wasteful number, since it uses less digits than its factorization.

82739304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149169 (or 1149162 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 82739304 is about 9096.1147750015. The cubic root of 82739304 is about 435.7498916245.

The spelling of 82739304 in words is "eighty-two million, seven hundred thirty-nine thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1149157 2298314 3447471 4596628 6894942 9193256 10342413 13789884 20684826 27579768 41369652 82739304