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86771072 = 27798581
BaseRepresentation
bin1010010110000…
…00010110000000
320001021102112102
411023000112000
5134203133242
612335445532
72102353613
oct513002600
9201242472
1086771072
1144a86433
12250868a8
1314c9133b
14b74a17a
15793ee32
hex52c0580

86771072 has 32 divisors (see below), whose sum is σ = 175072800. Its totient is φ = 42831360.

The previous prime is 86771053. The next prime is 86771141. The reversal of 86771072 is 27017768.

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

It is a congruent number.

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, 5822 + ... + 14402.

It is an arithmetic number, because the mean of its divisors is an integer number (5471025).

Almost surely, 286771072 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 86771072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87536400).

86771072 is an abundant number, since it is smaller than the sum of its proper divisors (88301728).

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

86771072 is an equidigital number, since it uses as much as digits as its factorization.

86771072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8674 (or 8662 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 38.

The square root of 86771072 is about 9315.0991406426. The cubic root of 86771072 is about 442.7157652674.

The spelling of 86771072 in words is "eighty-six million, seven hundred seventy-one thousand, seventy-two".

Divisors: 1 2 4 8 16 32 64 79 128 158 316 632 1264 2528 5056 8581 10112 17162 34324 68648 137296 274592 549184 677899 1098368 1355798 2711596 5423192 10846384 21692768 43385536 86771072