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80646016 = 2711241127
BaseRepresentation
bin1001100111010…
…00111110000000
312121202020112111
410303220332000
5131121133031
612000305104
71666323403
oct463507600
9177666474
1080646016
1141582600
1223012194
1313928449
14a9d3d3a
1571301b1
hex4ce8f80

80646016 has 96 divisors (see below), whose sum is σ = 182327040. Its totient is φ = 35481600.

The previous prime is 80645969. The next prime is 80646017. The reversal of 80646016 is 61064608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80646017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 634945 + ... + 635071.

It is an arithmetic number, because the mean of its divisors is an integer number (1899240).

Almost surely, 280646016 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 80646016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91163520).

80646016 is an abundant number, since it is smaller than the sum of its proper divisors (101681024).

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

80646016 is a wasteful number, since it uses less digits than its factorization.

80646016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 80646016 is about 8980.3126894335. The cubic root of 80646016 is about 432.0436627107.

The spelling of 80646016 in words is "eighty million, six hundred forty-six thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 121 127 128 164 176 242 254 328 352 451 484 508 656 704 902 968 1016 1312 1397 1408 1804 1936 2032 2624 2794 3608 3872 4064 4961 5207 5248 5588 7216 7744 8128 9922 10414 11176 14432 15367 15488 16256 19844 20828 22352 28864 30734 39688 41656 44704 57277 57728 61468 79376 83312 89408 114554 122936 158752 166624 178816 229108 245872 317504 333248 458216 491744 630047 635008 666496 916432 983488 1260094 1832864 1966976 2520188 3665728 5040376 7331456 10080752 20161504 40323008 80646016