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914881009 = 722921492
BaseRepresentation
bin110110100001111…
…111100111110001
32100202111202210211
4312201333213301
53333202143014
6230441024121
731446234400
oct6641774761
92322452724
10914881009
1142a476709
12216485041
13117706b13
1489711637
15554bacc4
hex3687f9f1

914881009 has 27 divisors (see below), whose sum is σ = 1109660097. Its totient is φ = 752061408.

The previous prime is 914881003. The next prime is 914881013. The reversal of 914881009 is 900188419.

The square root of 914881009 is 30247.

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

It can be written as a sum of positive squares in 4 ways, for example, as 146482609 + 768398400 = 12103^2 + 27720^2 .

It is not a de Polignac number, because 914881009 - 23 = 914881001 is a prime.

It is a super-3 number, since 3×9148810093 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (914881001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6140067 + ... + 6140215.

Almost surely, 2914881009 is an apocalyptic number.

914881009 is the 30247-th square number.

914881009 is the 15124-th centered octagonal number.

It is an amenable number.

914881009 is a deficient number, since it is larger than the sum of its proper divisors (194779088).

914881009 is an equidigital number, since it uses as much as digits as its factorization.

914881009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 40.

The cubic root of 914881009 is about 970.7816030021.

Multiplying 914881009 by its product of nonzero digits (20736), we get a square (18970972602624 = 43555682).

The spelling of 914881009 in words is "nine hundred fourteen million, eight hundred eighty-one thousand, nine".

Divisors: 1 7 29 49 149 203 841 1043 1421 4321 5887 7301 22201 30247 41209 125309 155407 211729 643829 877163 1087849 4506803 6140141 18671041 31547621 130697287 914881009