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81896064 = 273419509
BaseRepresentation
bin1001110000110…
…10001010000000
312201002202021120
410320122022000
5131431133224
612043152240
72013051015
oct470321200
9181082246
1081896064
11422567a8
1223515680
1313c75413
14ac3b70c
1572ca779
hex4e1a280

81896064 has 64 divisors (see below), whose sum is σ = 218484000. Its totient is φ = 27180032.

The previous prime is 81896057. The next prime is 81896069. The reversal of 81896064 is 46069818.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (81896069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160642 + ... + 161150.

Almost surely, 281896064 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 81896064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109242000).

81896064 is an abundant number, since it is smaller than the sum of its proper divisors (136587936).

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

81896064 is a wasteful number, since it uses less digits than its factorization.

81896064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 81896064 is about 9049.6444129037. The cubic root of 81896064 is about 434.2645148602.

The spelling of 81896064 in words is "eighty-one million, eight hundred ninety-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 419 509 838 1018 1257 1527 1676 2036 2514 3054 3352 4072 5028 6108 6704 8144 10056 12216 13408 16288 20112 24432 26816 32576 40224 48864 53632 65152 80448 97728 160896 195456 213271 426542 639813 853084 1279626 1706168 2559252 3412336 5118504 6824672 10237008 13649344 20474016 27298688 40948032 81896064