Search a number
-
+
80829864 = 23325691973
BaseRepresentation
bin1001101000101…
…01110110101000
312122002120201200
410310111312220
5131143023424
612004244200
72001020403
oct464256650
9178076650
1080829864
1141698745
12230a0660
131399102b
14aa40d3a
1571698c9
hex4d15da8

80829864 has 48 divisors (see below), whose sum is σ = 219410100. Its totient is φ = 26882304.

The previous prime is 80829851. The next prime is 80829887. The reversal of 80829864 is 46892808.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 72080100 + 8749764 = 8490^2 + 2958^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 39982 + ... + 41954.

Almost surely, 280829864 is an apocalyptic number.

It is an amenable number.

80829864 is an abundant number, since it is smaller than the sum of its proper divisors (138580236).

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

80829864 is a wasteful number, since it uses less digits than its factorization.

80829864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2554 (or 2547 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 80829864 is about 8990.5430314303. The cubic root of 80829864 is about 432.3717222342.

The spelling of 80829864 in words is "eighty million, eight hundred twenty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 569 1138 1707 1973 2276 3414 3946 4552 5121 5919 6828 7892 10242 11838 13656 15784 17757 20484 23676 35514 40968 47352 71028 142056 1122637 2245274 3367911 4490548 6735822 8981096 10103733 13471644 20207466 26943288 40414932 80829864