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1949840649 = 324123592
BaseRepresentation
bin111010000111000…
…0011010100001001
312000212222011112100
41310032003110021
512443124400044
6521251504013
766214241421
oct16416032411
95025864470
101949840649
119106a8159
12464bb8009
13250c64583
14146d5d481
15b62a5869
hex74383509

1949840649 has 27 divisors (see below), whose sum is σ = 2894869159. Its totient is φ = 1264656480.

The previous prime is 1949840639. The next prime is 1949840677. The reversal of 1949840649 is 9460489491.

It is a happy number.

The square root of 1949840649 is 44157.

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

1949840649 is a `hidden beast` number, since 194 + 9 + 8 + 406 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 93954249 + 1855886400 = 9693^2 + 43080^2 .

It is not a de Polignac number, because 1949840649 - 211 = 1949838601 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1949840595 and 1949840604.

It is not an unprimeable number, because it can be changed into a prime (1949840609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5431132 + ... + 5431490.

Almost surely, 21949840649 is an apocalyptic number.

1949840649 is the 44157-th square number.

1949840649 is the 22079-th centered octagonal number.

It is an amenable number.

1949840649 is a deficient number, since it is larger than the sum of its proper divisors (945028510).

1949840649 is an frugal number, since it uses more digits than its factorization.

1949840649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The cubic root of 1949840649 is about 1249.2989453447.

The spelling of 1949840649 in words is "one billion, nine hundred forty-nine million, eight hundred forty thousand, six hundred forty-nine".

Divisors: 1 3 9 41 123 359 369 1077 1681 3231 5043 14719 15129 44157 128881 132471 386643 603479 1159929 1810437 5284121 5431311 15852363 47557089 216648961 649946883 1949840649