[go: up one dir, main page]

Search a number
-
+
80516484 = 2233799437
BaseRepresentation
bin1001100110010…
…01010110000100
312121111122212000
410303021112010
5131103011414
611553425300
71665243636
oct463112604
9177448760
1080516484
11414a4254
1222b6b230
13138b14b9
14a99ca56
157106b09
hex4cc9584

80516484 has 48 divisors (see below), whose sum is σ = 211411200. Its totient is φ = 26496288.

The previous prime is 80516483. The next prime is 80516503. The reversal of 80516484 is 48461508.

80516484 is a `hidden beast` number, since 8 + 0 + 5 + 1 + 648 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (80516483) 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 15 ways as a sum of consecutive naturals, for example, 3814 + ... + 13250.

It is an arithmetic number, because the mean of its divisors is an integer number (4404400).

Almost surely, 280516484 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 80516484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105705600).

80516484 is an abundant number, since it is smaller than the sum of its proper divisors (130894716).

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

80516484 is a wasteful number, since it uses less digits than its factorization.

80516484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9529 (or 9521 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 80516484 is about 8973.0977928472. The cubic root of 80516484 is about 431.8122254919.

It can be divided in two parts, 8051 and 6484, that added together give a triangular number (14535 = T170).

The spelling of 80516484 in words is "eighty million, five hundred sixteen thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 108 158 237 316 474 711 948 1422 2133 2844 4266 8532 9437 18874 28311 37748 56622 84933 113244 169866 254799 339732 509598 745523 1019196 1491046 2236569 2982092 4473138 6709707 8946276 13419414 20129121 26838828 40258242 80516484