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82344444 = 22371375407
BaseRepresentation
bin1001110100001…
…11100111111100
312201221112100020
410322013213330
5132040010234
612100532140
72016626160
oct472074774
9181845306
1082344444
1142532666
12236b1050
13140a1530
14ad16ca0
157368549
hex4e879fc

82344444 has 48 divisors (see below), whose sum is σ = 236479488. Its totient is φ = 21716928.

The previous prime is 82344443. The next prime is 82344467. The reversal of 82344444 is 44444328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82344443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36612 + ... + 38795.

It is an arithmetic number, because the mean of its divisors is an integer number (4926656).

Almost surely, 282344444 is an apocalyptic number.

82344444 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

82344444 is an abundant number, since it is smaller than the sum of its proper divisors (154135044).

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

82344444 is a wasteful number, since it uses less digits than its factorization.

82344444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75434 (or 75432 counting only the distinct ones).

The product of its digits is 49152, while the sum is 33.

The square root of 82344444 is about 9074.3839460318. The cubic root of 82344444 is about 435.0556039372.

The spelling of 82344444 in words is "eighty-two million, three hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 75407 150814 226221 301628 452442 527849 904884 980291 1055698 1583547 1960582 2111396 2940873 3167094 3921164 5881746 6334188 6862037 11763492 13724074 20586111 27448148 41172222 82344444