Search a number
-
+
5464609929 = 324126012
BaseRepresentation
bin1010001011011011…
…10101010010001001
3112002211121221120100
411011231311102021
542142420004204
62302125320013
7252263263242
oct50555652211
915084557510
105464609929
1123546a2359
121086106009
136911a24cc
1439ba83cc9
1521eb2da39
hex145b75489

5464609929 has 27 divisors (see below), whose sum is σ = 8104025397. Its totient is φ = 3548304000.

The previous prime is 5464609907. The next prime is 5464609933. The reversal of 5464609929 is 9299064645.

It is a happy number.

The square root of 5464609929 is 73923.

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

5464609929 is a `hidden beast` number, since 5 + 4 + 6 + 4 + 609 + 9 + 29 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 193849929 + 5270760000 = 13923^2 + 72600^2 .

It is not a de Polignac number, because 5464609929 - 29 = 5464609417 is a prime.

It is a super-2 number, since 2×54646099292 = 59723923352250770082, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5464609429) 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, 9092229 + ... + 9092829.

Almost surely, 25464609929 is an apocalyptic number.

5464609929 is the 73923-rd square number.

5464609929 is the 36962-nd centered octagonal number.

It is an amenable number.

5464609929 is a deficient number, since it is larger than the sum of its proper divisors (2639415468).

5464609929 is an frugal number, since it uses more digits than its factorization.

5464609929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The cubic root of 5464609929 is about 1761.3799792788.

The spelling of 5464609929 in words is "five billion, four hundred sixty-four million, six hundred nine thousand, nine hundred twenty-nine".

Divisors: 1 3 9 41 123 369 601 1681 1803 5043 5409 15129 24641 73923 221769 361201 1010281 1083603 3030843 3250809 9092529 14809241 44427723 133283169 607178881 1821536643 5464609929