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986399649 = 32194292
BaseRepresentation
bin111010110010110…
…100001110100001
32112202002021221100
4322302310032201
54010004242044
6241513545013
733305154504
oct7262641641
92482067840
10986399649
11466884724
12236415169
13129487941
149500b13b
155b8e6869
hex3acb43a1

986399649 has 45 divisors (see below), whose sum is σ = 1557603203. Its totient is φ = 601506864.

The previous prime is 986399587. The next prime is 986399651. The reversal of 986399649 is 946993689.

The square root of 986399649 is 31407.

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

986399649 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 517244049 + 469155600 = 22743^2 + 21660^2 .

It is not a de Polignac number, because 986399649 - 213 = 986391457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (986399699) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 34013767 + ... + 34013795.

Almost surely, 2986399649 is an apocalyptic number.

986399649 is the 31407-th square number.

986399649 is the 15704-th centered octagonal number.

It is an amenable number.

986399649 is a deficient number, since it is larger than the sum of its proper divisors (571203554).

986399649 is an frugal number, since it uses more digits than its factorization.

986399649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 51 counting only the distinct ones).

The product of its digits is 22674816, while the sum is 63.

The cubic root of 986399649 is about 995.4458407855.

The spelling of 986399649 in words is "nine hundred eighty-six million, three hundred ninety-nine thousand, six hundred forty-nine".

Divisors: 1 3 9 19 29 57 87 171 261 361 551 841 1083 1653 2523 3249 4959 6859 7569 10469 15979 20577 31407 47937 61731 94221 130321 143811 198911 303601 390963 596733 910803 1172889 1790199 2732409 3779309 5768419 11337927 17305257 34013781 51915771 109599961 328799883 986399649