Search a number
-
+
80824914 = 23229672311
BaseRepresentation
bin1001101000101…
…00101001010010
312122002022221100
410310110221102
5131142344124
612004205230
72001000102
oct464245122
9178068840
1080824914
1141694a55
1223099816
131398b9c1
14aa3d202
1571681c9
hex4d14a52

80824914 has 48 divisors (see below), whose sum is σ = 183942720. Its totient is φ = 25613280.

The previous prime is 80824889. The next prime is 80824927. The reversal of 80824914 is 41942808.

It is a hoax number, since the sum of its digits (36) 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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33819 + ... + 36129.

It is an arithmetic number, because the mean of its divisors is an integer number (3832140).

Almost surely, 280824914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80824914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91971360).

80824914 is an abundant number, since it is smaller than the sum of its proper divisors (103117806).

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

80824914 is a wasteful number, since it uses less digits than its factorization.

80824914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 80824914 is about 8990.2677379486. The cubic root of 80824914 is about 432.3628959431.

It can be divided in two parts, 8082 and 4914, that added together give a square (12996 = 1142).

The spelling of 80824914 in words is "eighty million, eight hundred twenty-four thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 18 29 58 67 87 134 174 201 261 402 522 603 1206 1943 2311 3886 4622 5829 6933 11658 13866 17487 20799 34974 41598 67019 134038 154837 201057 309674 402114 464511 603171 929022 1206342 1393533 2787066 4490273 8980546 13470819 26941638 40412457 80824914