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806298150 = 235271017603
BaseRepresentation
bin110000000011110…
…010001000100110
32002012012012010110
4300003302020212
53122403020100
6212001433450
725660264320
oct6003621046
92065165113
10806298150
11384152809
121a603b886
13cb0797c8
1479128610
154abbd250
hex300f2226

806298150 has 96 divisors (see below), whose sum is σ = 2308209408. Its totient is φ = 182448000.

The previous prime is 806298133. The next prime is 806298221. The reversal of 806298150 is 51892608.

It is a junction number, because it is equal to n+sod(n) for n = 806298099 and 806298108.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 102249 + ... + 109851.

It is an arithmetic number, because the mean of its divisors is an integer number (24043848).

Almost surely, 2806298150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806298150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154104704).

806298150 is an abundant number, since it is smaller than the sum of its proper divisors (1501911258).

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

806298150 is a wasteful number, since it uses less digits than its factorization.

806298150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7726 (or 7721 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 806298150 is about 28395.3895905656. The cubic root of 806298150 is about 930.7475201635.

The spelling of 806298150 in words is "eight hundred six million, two hundred ninety-eight thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 101 105 150 175 202 210 303 350 505 525 606 707 1010 1050 1414 1515 2121 2525 3030 3535 4242 5050 7070 7575 7603 10605 15150 15206 17675 21210 22809 35350 38015 45618 53025 53221 76030 106050 106442 114045 159663 190075 228090 266105 319326 380150 532210 570225 767903 798315 1140450 1330525 1535806 1596630 2303709 2661050 3839515 3991575 4607418 5375321 7679030 7983150 10750642 11518545 16125963 19197575 23037090 26876605 32251926 38395150 53753210 57592725 80629815 115185450 134383025 161259630 268766050 403149075 806298150