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81827456 = 271913347
BaseRepresentation
bin1001110000010…
…01011010000000
312200222021011112
410320021122000
5131421434311
612041502452
72012344004
oct470113200
9180867145
1081827456
114220a1a7
12234a1a28
1313c50119
14ac20704
1572b528b
hex4e09680

81827456 has 32 divisors (see below), whose sum is σ = 163918080. Its totient is φ = 40687360.

The previous prime is 81827441. The next prime is 81827479. The reversal of 81827456 is 65472818.

It is a tau number, because it is divible by the number of its divisors (32).

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, 22775 + ... + 26121.

It is an arithmetic number, because the mean of its divisors is an integer number (5122440).

Almost surely, 281827456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81827456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81959040).

81827456 is an abundant number, since it is smaller than the sum of its proper divisors (82090624).

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

81827456 is a wasteful number, since it uses less digits than its factorization.

81827456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3552 (or 3540 counting only the distinct ones).

The product of its digits is 107520, while the sum is 41.

The square root of 81827456 is about 9045.8529724952. The cubic root of 81827456 is about 434.1432133707.

The spelling of 81827456 in words is "eighty-one million, eight hundred twenty-seven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 191 382 764 1528 3056 3347 6112 6694 12224 13388 24448 26776 53552 107104 214208 428416 639277 1278554 2557108 5114216 10228432 20456864 40913728 81827456