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82364448 = 253857963
BaseRepresentation
bin1001110100011…
…00100000100000
312201222112210010
410322030200200
5132041130243
612101204520
72020041405
oct472144040
9181875703
1082364448
11425466a1
1223700740
13140aa67a
14ad202ac
15736e433
hex4e8c820

82364448 has 24 divisors (see below), whose sum is σ = 216206928. Its totient is φ = 27454784.

The previous prime is 82364417. The next prime is 82364501. The reversal of 82364448 is 84446328.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 428886 + ... + 429077.

It is an arithmetic number, because the mean of its divisors is an integer number (9008622).

Almost surely, 282364448 is an apocalyptic number.

It is an amenable number.

82364448 is an abundant number, since it is smaller than the sum of its proper divisors (133842480).

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

82364448 is a wasteful number, since it uses less digits than its factorization.

82364448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857976 (or 857968 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The square root of 82364448 is about 9075.4861026834. The cubic root of 82364448 is about 435.0908305505.

The spelling of 82364448 in words is "eighty-two million, three hundred sixty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 857963 1715926 2573889 3431852 5147778 6863704 10295556 13727408 20591112 27454816 41182224 82364448