Search a number
-
+
450513855 = 3251121731157
BaseRepresentation
bin11010110110100…
…100101110111111
31011101201110211100
4122312210232333
51410312420410
6112412024143
714110206321
oct3266445677
91141643740
10450513855
11211337800
12106a62053
137244985c
1443b93611
15298408c0
hex1ada4bbf

450513855 has 144 divisors (see below), whose sum is σ = 944116992. Its totient is φ = 197683200.

The previous prime is 450513851. The next prime is 450513871. The reversal of 450513855 is 558315054.

It is a happy number.

It is not a de Polignac number, because 450513855 - 22 = 450513851 is a prime.

It is a super-2 number, since 2×4505138552 = 405925467093922050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450513851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2869437 + ... + 2869593.

It is an arithmetic number, because the mean of its divisors is an integer number (6556368).

Almost surely, 2450513855 is an apocalyptic number.

450513855 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

450513855 is an abundant number, since it is smaller than the sum of its proper divisors (493603137).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

450513855 is a wasteful number, since it uses less digits than its factorization.

450513855 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The square root of 450513855 is about 21225.3116584893. The cubic root of 450513855 is about 766.6010043533.

The spelling of 450513855 in words is "four hundred fifty million, five hundred thirteen thousand, eight hundred fifty-five".

Divisors: 1 3 5 9 11 15 17 31 33 45 51 55 85 93 99 121 153 155 157 165 187 255 279 341 363 465 471 495 527 561 605 765 785 935 1023 1089 1395 1413 1581 1683 1705 1727 1815 2057 2355 2635 2669 2805 3069 3751 4743 4867 5115 5181 5445 5797 6171 7065 7905 8007 8415 8635 10285 11253 13345 14601 15345 15543 17391 18513 18755 18997 23715 24021 24335 25905 28985 29359 30855 33759 40035 43803 52173 53537 56265 56991 63767 73005 77715 82739 86955 88077 92565 94985 120105 146795 160611 168795 170973 191301 219015 248217 260865 264231 267685 284955 318835 322949 413695 440385 481833 573903 588907 744651 803055 854865 910129 956505 968847 1241085 1321155 1614745 1766721 2409165 2730387 2869515 2906541 2944535 3723255 4550645 4844235 5300163 8191161 8833605 10011419 13651935 14532705 26500815 30034257 40955805 50057095 90102771 150171285 450513855