Search a number
-
+
80287668 = 22321727717
BaseRepresentation
bin1001100100100…
…01011110110100
312121002000222100
410302101132310
5131023201133
611544502100
71663301556
oct462213664
9177060870
1080287668
114135834a
1222a7a930
13138312c6
14a93d4d6
1570ade13
hex4c917b4

80287668 has 54 divisors (see below), whose sum is σ = 215617766. Its totient is φ = 25185024.

The previous prime is 80287667. The next prime is 80287679. The reversal of 80287668 is 86678208.

It can be written as a sum of positive squares in 3 ways, for example, as 32012964 + 48274704 = 5658^2 + 6948^2 .

It is a super-2 number, since 2×802876682 = 12892219265756448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80287667) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 6546 + ... + 14262.

Almost surely, 280287668 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 80287668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107808883).

80287668 is an abundant number, since it is smaller than the sum of its proper divisors (135330098).

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

80287668 is a wasteful number, since it uses less digits than its factorization.

80287668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7761 (or 7739 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 80287668 is about 8960.3386096732. The cubic root of 80287668 is about 431.4027884580.

The spelling of 80287668 in words is "eighty million, two hundred eighty-seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2601 3468 5202 7717 10404 15434 23151 30868 46302 69453 92604 131189 138906 262378 277812 393567 524756 787134 1180701 1574268 2230213 2361402 4460426 4722804 6690639 8920852 13381278 20071917 26762556 40143834 80287668