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806491900 = 2252171393413
BaseRepresentation
bin110000000100100…
…001011011111100
32002012120000220101
4300010201123330
53122430220100
6212005530444
725662032224
oct6004413374
92065500811
10806491900
11384275335
121a6113a24
13cb116a56
1479179084
154ac0a86a
hex301216fc

806491900 has 72 divisors (see below), whose sum is σ = 1866911760. Its totient is φ = 301347840.

The previous prime is 806491897. The next prime is 806491901. The reversal of 806491900 is 9194608.

It is a super-2 number, since 2×8064919002 = 1300858369531220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 806491900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806491901) 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 23 ways as a sum of consecutive naturals, for example, 234594 + ... + 238006.

It is an arithmetic number, because the mean of its divisors is an integer number (25929330).

Almost surely, 2806491900 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 806491900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933455880).

806491900 is an abundant number, since it is smaller than the sum of its proper divisors (1060419860).

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

806491900 is a wasteful number, since it uses less digits than its factorization.

806491900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3583 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 806491900 is about 28398.8010310295. The cubic root of 806491900 is about 930.8220657435.

The spelling of 806491900 in words is "eight hundred six million, four hundred ninety-one thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 139 170 278 340 425 556 695 850 1390 1700 2363 2780 3413 3475 4726 6826 6950 9452 11815 13652 13900 17065 23630 34130 47260 58021 59075 68260 85325 116042 118150 170650 232084 236300 290105 341300 474407 580210 948814 1160420 1450525 1897628 2372035 2901050 4744070 5802100 8064919 9488140 11860175 16129838 23720350 32259676 40324595 47440700 80649190 161298380 201622975 403245950 806491900