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809061136 = 241325472
BaseRepresentation
bin110000001110010…
…100101100010000
32002101101120020021
4300032110230100
53124104424021
6212140553224
726022622552
oct6016245420
92071346207
10809061136
1138576a674
121a6b52814
13cb806300
14796474d2
154b066c41
hex30394b10

809061136 has 45 divisors (see below), whose sum is σ = 1700521461. Its totient is φ = 372730176.

The previous prime is 809061119. The next prime is 809061137. The reversal of 809061136 is 631160908.

The square root of 809061136 is 28444.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 119683600 + 689377536 = 10940^2 + 26256^2 .

It is a super-2 number, since 2×8090611362 = 1309159843571220992, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (809061137) 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 8 ways as a sum of consecutive naturals, for example, 1478815 + ... + 1479361.

Almost surely, 2809061136 is an apocalyptic number.

809061136 is the 28444-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 809061136

809061136 is an abundant number, since it is smaller than the sum of its proper divisors (891460325).

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

809061136 is an equidigital number, since it uses as much as digits as its factorization.

809061136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The cubic root of 809061136 is about 931.8094559105.

The spelling of 809061136 in words is "eight hundred nine million, sixty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 547 676 1094 1352 2188 2704 4376 7111 8752 14222 28444 56888 92443 113776 184886 299209 369772 598418 739544 1196836 1479088 2393672 3889717 4787344 7779434 15558868 31117736 50566321 62235472 101132642 202265284 404530568 809061136