Search a number
-
+
464590269 = 331121310939
BaseRepresentation
bin11011101100010…
…001010110111101
31012101012122001000
4123230101112331
51422413342034
6114033440513
714340644403
oct3354212675
91171178030
10464590269
11219281600
1210b710139
13753379b0
14459b9473
152abc1599
hex1bb115bd

464590269 has 48 divisors (see below), whose sum is σ = 814811200. Its totient is φ = 259886880.

The previous prime is 464590219. The next prime is 464590277. The reversal of 464590269 is 962095464.

It is not a de Polignac number, because 464590269 - 212 = 464586173 is a prime.

It is a super-2 number, since 2×4645902692 = 431688236098984722, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464590219) 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 47 ways as a sum of consecutive naturals, for example, 37002 + ... + 47940.

Almost surely, 2464590269 is an apocalyptic number.

It is an amenable number.

464590269 is a deficient number, since it is larger than the sum of its proper divisors (350220931).

464590269 is a wasteful number, since it uses less digits than its factorization.

464590269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10983 (or 10966 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 464590269 is about 21554.3561490479. The cubic root of 464590269 is about 774.5034732819.

The spelling of 464590269 in words is "four hundred sixty-four million, five hundred ninety thousand, two hundred sixty-nine".

Divisors: 1 3 9 11 13 27 33 39 99 117 121 143 297 351 363 429 1089 1287 1573 3267 3861 4719 10939 14157 32817 42471 98451 120329 142207 295353 360987 426621 1082961 1279863 1323619 1564277 3248883 3839589 3970857 4692831 11912571 14078493 17207047 35737713 42235479 51621141 154863423 464590269