Search a number
-
+
649923957 = 321719732153
BaseRepresentation
bin100110101111010…
…000110101110101
31200021221120001200
4212233100311311
52312340031312
6144254043113
722051156014
oct4657206565
91607846050
10649923957
11303957541
121617a9499
13a48584b7
1462460a7b
153c0d00dc
hex26bd0d75

649923957 has 24 divisors (see below), whose sum is σ = 994967064. Its totient is φ = 407399424.

The previous prime is 649923941. The next prime is 649923961. The reversal of 649923957 is 759329946.

It can be written as a sum of positive squares in 4 ways, for example, as 11553201 + 638370756 = 3399^2 + 25266^2 .

It is not a de Polignac number, because 649923957 - 24 = 649923941 is a prime.

It is a super-2 number, since 2×6499239572 = 844802299765075698, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649923917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300793 + ... + 302945.

It is an arithmetic number, because the mean of its divisors is an integer number (41456961).

Almost surely, 2649923957 is an apocalyptic number.

It is an amenable number.

649923957 is a deficient number, since it is larger than the sum of its proper divisors (345043107).

649923957 is a wasteful number, since it uses less digits than its factorization.

649923957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4149 (or 4146 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The square root of 649923957 is about 25493.6061984177. The cubic root of 649923957 is about 866.2053238080.

The spelling of 649923957 in words is "six hundred forty-nine million, nine hundred twenty-three thousand, nine hundred fifty-seven".

Divisors: 1 3 9 17 51 153 1973 2153 5919 6459 17757 19377 33541 36601 100623 109803 301869 329409 4247869 12743607 38230821 72213773 216641319 649923957