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86564416 = 2611632
BaseRepresentation
bin1010010100011…
…01111001000000
320000212221001111
411022031321000
5134130030131
612331213104
72100533251
oct512157100
9200787044
1086564416
1144955144
1224ba7194
1314c1b263
14b6d4b28
1578edab1
hex528de40

86564416 has 21 divisors (see below), whose sum is σ = 171924091. Its totient is φ = 43244992.

The previous prime is 86564371. The next prime is 86564419. The reversal of 86564416 is 61446568.

It is a happy number.

The square root of 86564416 is 9304.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86564419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 73851 + ... + 75013.

Almost surely, 286564416 is an apocalyptic number.

86564416 is the 9304-th square number.

It is an amenable number.

86564416 is a deficient number, since it is larger than the sum of its proper divisors (85359675).

86564416 is an frugal number, since it uses more digits than its factorization.

86564416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 1165 counting only the distinct ones).

The product of its digits is 138240, while the sum is 40.

The cubic root of 86564416 is about 442.3640251663.

The spelling of 86564416 in words is "eighty-six million, five hundred sixty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 1163 2326 4652 9304 18608 37216 74432 1352569 2705138 5410276 10820552 21641104 43282208 86564416