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82321056 = 253395279
BaseRepresentation
bin1001110100000…
…01111010100000
312201220100021000
410322001322200
5132033233211
612100232000
72016501036
oct472017240
9181810230
1082321056
1142517034
122369b600
13140939ac
14ad0c556
157361656
hex4e81ea0

82321056 has 48 divisors (see below), whose sum is σ = 240105600. Its totient is φ = 27440064.

The previous prime is 82321039. The next prime is 82321061. The reversal of 82321056 is 65012328.

It is a tau number, because it is divible by the number of its divisors (48).

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

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 7 ways as a sum of consecutive naturals, for example, 46776 + ... + 48503.

It is an arithmetic number, because the mean of its divisors is an integer number (5002200).

Almost surely, 282321056 is an apocalyptic number.

It is an amenable number.

82321056 is an abundant number, since it is smaller than the sum of its proper divisors (157784544).

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

82321056 is a wasteful number, since it uses less digits than its factorization.

82321056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95298 (or 95284 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 82321056 is about 9073.0951719906. The cubic root of 82321056 is about 435.0144109376.

The spelling of 82321056 in words is "eighty-two million, three hundred twenty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 95279 190558 285837 381116 571674 762232 857511 1143348 1524464 1715022 2286696 2572533 3048928 3430044 4573392 5145066 6860088 9146784 10290132 13720176 20580264 27440352 41160528 82321056