Search a number
-
+
465991981 = 71321722947
BaseRepresentation
bin11011110001100…
…111100100101101
31012110211211211021
4123301213210231
51423243220411
6114123454141
714355603130
oct3361474455
91173754737
10465991981
1121a049744
12110087351
1375708a00
1445c62217
152ad9ba71
hex1bc6792d

465991981 has 72 divisors (see below), whose sum is σ = 647205120. Its totient is φ = 327914496.

The previous prime is 465991979. The next prime is 465992027. The reversal of 465991981 is 189199564.

It is a happy number.

It is not a de Polignac number, because 465991981 - 21 = 465991979 is a prime.

It is a super-2 number, since 2×4659919812 = 434297052712608722, 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 (465991081) 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 71 ways as a sum of consecutive naturals, for example, 9914700 + ... + 9914746.

It is an arithmetic number, because the mean of its divisors is an integer number (8988960).

Almost surely, 2465991981 is an apocalyptic number.

It is an amenable number.

465991981 is a deficient number, since it is larger than the sum of its proper divisors (181213139).

465991981 is a wasteful number, since it uses less digits than its factorization.

465991981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 113 counting only the distinct ones).

The product of its digits is 699840, while the sum is 52.

The square root of 465991981 is about 21586.8474076230. The cubic root of 465991981 is about 775.2816075469.

The spelling of 465991981 in words is "four hundred sixty-five million, nine hundred ninety-one thousand, nine hundred eighty-one".

Divisors: 1 7 13 17 29 47 91 119 169 203 221 289 329 377 493 611 799 1183 1363 1547 2023 2639 2873 3451 3757 4277 4901 5593 6409 7943 8381 9541 10387 13583 17719 20111 23171 26299 34307 44863 48841 55601 58667 72709 83317 95081 108953 124033 135031 162197 176579 230347 301223 341887 393907 583219 762671 945217 1236053 1416389 1612429 2108561 2295527 2757349 3915899 5120791 9914723 16068689 27411293 35845537 66570283 465991981