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1936616049 = 32146692
BaseRepresentation
bin111001101101110…
…0110101001110001
311222222002021210100
41303123212221301
512431233203144
6520100223013
765663651634
oct16333465161
94888067710
101936616049
11904195335
1246069aa69
1324b2b4074
141452b9c1b
15b5042269
hex736e6a71

1936616049 has 9 divisors (see below), whose sum is σ = 2797525003. Its totient is φ = 1290989352.

The previous prime is 1936615999. The next prime is 1936616057. The reversal of 1936616049 is 9406166391.

The square root of 1936616049 is 44007.

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

1936616049 is a `hidden beast` number, since 1 + 9 + 36 + 6 + 1 + 604 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1249127649 + 687488400 = 35343^2 + 26220^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1936616049 - 215 = 1936583281 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1936615995 and 1936616013.

It is not an unprimeable number, because it can be changed into a prime (1936656049) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 124687 + ... + 139355.

Almost surely, 21936616049 is an apocalyptic number.

1936616049 is the 44007-th square number.

1936616049 is the 22004-th centered octagonal number.

It is an amenable number.

1936616049 is a deficient number, since it is larger than the sum of its proper divisors (860908954).

1936616049 is an frugal number, since it uses more digits than its factorization.

1936616049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29344 (or 14672 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The cubic root of 1936616049 is about 1246.4681205141.

The spelling of 1936616049 in words is "one billion, nine hundred thirty-six million, six hundred sixteen thousand, forty-nine".

Divisors: 1 3 9 14669 44007 132021 215179561 645538683 1936616049