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81848064 = 283176269
BaseRepresentation
bin1001110000011…
…10011100000000
312201000022102210
410320032130000
5131423114224
612042142120
72012461044
oct470163400
9181008383
1081848064
1142223731
12234b1940
1313c5960c
14ac28024
1572bb429
hex4e0e700

81848064 has 72 divisors (see below), whose sum is σ = 230685840. Its totient is φ = 25673728.

The previous prime is 81848057. The next prime is 81848087. The reversal of 81848064 is 46084818.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9922 + ... + 16190.

It is an arithmetic number, because the mean of its divisors is an integer number (3203970).

Almost surely, 281848064 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 81848064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115342920).

81848064 is an abundant number, since it is smaller than the sum of its proper divisors (148837776).

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

81848064 is a wasteful number, since it uses less digits than its factorization.

81848064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6305 (or 6291 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 81848064 is about 9046.9919862902. The cubic root of 81848064 is about 434.1796562014.

The spelling of 81848064 in words is "eighty-one million, eight hundred forty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 1088 1632 2176 3264 4352 6269 6528 12538 13056 18807 25076 37614 50152 75228 100304 106573 150456 200608 213146 300912 319719 401216 426292 601824 639438 802432 852584 1203648 1278876 1604864 1705168 2407296 2557752 3410336 4814592 5115504 6820672 10231008 13641344 20462016 27282688 40924032 81848064