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81564392 = 23713181619
BaseRepresentation
bin1001101110010…
…01001011101000
312200110220022102
410313021023220
5131340030032
612032112532
72010200030
oct467111350
9180426272
1081564392
114204a598
1223395748
1313b8a470
14ab928c0
157262362
hex4dc92e8

81564392 has 64 divisors (see below), whose sum is σ = 189571200. Its totient is φ = 32037120.

The previous prime is 81564389. The next prime is 81564401. The reversal of 81564392 is 29346518.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131459 + ... + 132077.

It is an arithmetic number, because the mean of its divisors is an integer number (2962050).

Almost surely, 281564392 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 81564392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94785600).

81564392 is an abundant number, since it is smaller than the sum of its proper divisors (108006808).

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

81564392 is a wasteful number, since it uses less digits than its factorization.

81564392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 822 counting only the distinct ones).

The product of its digits is 51840, while the sum is 38.

The square root of 81564392 is about 9031.3006815187. The cubic root of 81564392 is about 433.6774770437.

The spelling of 81564392 in words is "eighty-one million, five hundred sixty-four thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 181 182 362 364 619 724 728 1238 1267 1448 2353 2476 2534 4333 4706 4952 5068 8047 8666 9412 10136 16094 16471 17332 18824 32188 32942 34664 56329 64376 65884 112039 112658 131768 224078 225316 448156 450632 784273 896312 1456507 1568546 2913014 3137092 5826028 6274184 10195549 11652056 20391098 40782196 81564392