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986381221 = 741093769
BaseRepresentation
bin111010110010101…
…111101110100101
32112202001100122211
4322302233232211
54010003144341
6241513323421
733305050000
oct7262575645
92482040584
10986381221
114668718a1
12236406571
1312947c437
1495004537
155b8e1181
hex3acafba5

986381221 has 20 divisors (see below), whose sum is σ = 1161574700. Its totient is φ = 837490752.

The previous prime is 986381177. The next prime is 986381233. The reversal of 986381221 is 122183689.

It can be written as a sum of positive squares in 2 ways, for example, as 755645121 + 230736100 = 27489^2 + 15190^2 .

It is not a de Polignac number, because 986381221 - 29 = 986380709 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (986381521) 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 19 ways as a sum of consecutive naturals, for example, 259825 + ... + 263593.

It is an arithmetic number, because the mean of its divisors is an integer number (58078735).

Almost surely, 2986381221 is an apocalyptic number.

It is an amenable number.

986381221 is a deficient number, since it is larger than the sum of its proper divisors (175193479).

986381221 is an equidigital number, since it uses as much as digits as its factorization.

986381221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3906 (or 3885 counting only the distinct ones).

The product of its digits is 41472, while the sum is 40.

The square root of 986381221 is about 31406.7066245412. The cubic root of 986381221 is about 995.4396417463.

The spelling of 986381221 in words is "nine hundred eighty-six million, three hundred eighty-one thousand, two hundred twenty-one".

Divisors: 1 7 49 109 343 763 2401 3769 5341 26383 37387 184681 261709 410821 1292767 2875747 9049369 20130229 140911603 986381221