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806301076 = 22733591637
BaseRepresentation
bin110000000011110…
…010110110010100
32002012012100010211
4300003302312110
53122403113301
6212001455204
725660306000
oct6003626624
92065170124
10806301076
11384154a29
121a6041504
13cb07ac39
1479129700
154abbe051
hex300f2d94

806301076 has 48 divisors (see below), whose sum is σ = 1651104000. Its totient is φ = 344384544.

The previous prime is 806301061. The next prime is 806301091. The reversal of 806301076 is 670103608.

It is an interprime number because it is at equal distance from previous prime (806301061) and next prime (806301091).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 491730 + ... + 493366.

It is an arithmetic number, because the mean of its divisors is an integer number (34398000).

Almost surely, 2806301076 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 806301076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825552000).

806301076 is an abundant number, since it is smaller than the sum of its proper divisors (844802924).

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

806301076 is a wasteful number, since it uses less digits than its factorization.

806301076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 806301076 is about 28395.4411129674. The cubic root of 806301076 is about 930.7486460349.

The spelling of 806301076 in words is "eight hundred six million, three hundred one thousand, seventy-six".

Divisors: 1 2 4 7 14 28 49 98 196 343 359 686 718 1372 1436 1637 2513 3274 5026 6548 10052 11459 17591 22918 35182 45836 70364 80213 123137 160426 246274 320852 492548 561491 587683 1122982 1175366 2245964 2350732 4113781 8227562 16455124 28796467 57592934 115185868 201575269 403150538 806301076