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806942900 = 225221413769
BaseRepresentation
bin110000000110001…
…111100010110100
32002020101221120002
4300012033202310
53123034133100
6212023330432
725665621131
oct6006174264
92066357502
10806942900
11384553165
121a62b0a18
13cb24410a
1479255588
154ac992d5
hex3018f8b4

806942900 has 36 divisors (see below), whose sum is σ = 1752348780. Its totient is φ = 322540800.

The previous prime is 806942881. The next prime is 806942911. The reversal of 806942900 is 9249608.

It can be written as a sum of positive squares in 6 ways, for example, as 80748196 + 726194704 = 8986^2 + 26948^2 .

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 11 ways as a sum of consecutive naturals, for example, 212216 + ... + 215984.

It is an arithmetic number, because the mean of its divisors is an integer number (48676355).

Almost surely, 2806942900 is an apocalyptic number.

It is an amenable number.

806942900 is an abundant number, since it is smaller than the sum of its proper divisors (945405880).

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

806942900 is a wasteful number, since it uses less digits than its factorization.

806942900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5924 (or 5917 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 806942900 is about 28406.7403973071. The cubic root of 806942900 is about 930.9955423869.

The spelling of 806942900 in words is "eight hundred six million, nine hundred forty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2141 3769 4282 7538 8564 10705 15076 18845 21410 37690 42820 53525 75380 94225 107050 188450 214100 376900 8069429 16138858 32277716 40347145 80694290 161388580 201735725 403471450 806942900