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9966649 = 72112412
BaseRepresentation
bin100110000001…
…010000111001
3200202100200011
4212001100321
510022413044
6553341521
7150500200
oct46012071
920670604
109966649
115698100
1234078a1
1320ac634
141476237
15d1d134
hex981439

9966649 has 27 divisors (see below), whose sum is σ = 13062063. Its totient is φ = 7576800.

The previous prime is 9966643. The next prime is 9966667. The reversal of 9966649 is 9466699.

Multipling 9966649 by its sum of digits (49), we get a square (488365801 = 220992).

9966649 divided by its sum of digits (49) gives a square (203401 = 4512).

It is a happy number.

The square root of 9966649 is 3157.

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., 480249 + 9486400 = 693^2 + 3080^2 .

It is not a de Polignac number, because 9966649 - 29 = 9966137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (9966643) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 243069 + ... + 243109.

Almost surely, 29966649 is an apocalyptic number.

9966649 is the 3157-th square number.

9966649 is the 1579-th centered octagonal number.

It is an amenable number.

9966649 is a deficient number, since it is larger than the sum of its proper divisors (3095414).

9966649 is a wasteful number, since it uses less digits than its factorization.

9966649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 59 counting only the distinct ones).

The product of its digits is 629856, while the sum is 49.

The cubic root of 9966649 is about 215.2036937427.

The spelling of 9966649 in words is "nine million, nine hundred sixty-six thousand, six hundred forty-nine".

Divisors: 1 7 11 41 49 77 121 287 451 539 847 1681 2009 3157 4961 5929 11767 18491 22099 34727 82369 129437 203401 243089 906059 1423807 9966649