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455041314 = 23571310289
BaseRepresentation
bin11011000111110…
…110000100100010
31011201020111100000
4123013312010202
51412442310224
6113053040430
714163534030
oct3307660442
91151214300
10455041314
1121394a302
12108486116
1373373520
1444611550
1529e370c9
hex1b1f6122

455041314 has 96 divisors (see below), whose sum is σ = 1258508160. Its totient is φ = 119999232.

The previous prime is 455041313. The next prime is 455041333. The reversal of 455041314 is 413140554.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455041313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39082 + ... + 49370.

It is an arithmetic number, because the mean of its divisors is an integer number (13109460).

Almost surely, 2455041314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455041314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629254080).

455041314 is an abundant number, since it is smaller than the sum of its proper divisors (803466846).

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

455041314 is a wasteful number, since it uses less digits than its factorization.

455041314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10326 (or 10314 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 455041314 is about 21331.6974008165. The cubic root of 455041314 is about 769.1604466119.

Adding to 455041314 its reverse (413140554), we get a palindrome (868181868).

The spelling of 455041314 in words is "four hundred fifty-five million, forty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 182 189 234 243 273 351 378 486 546 567 702 819 1053 1134 1638 1701 2106 2457 3159 3402 4914 6318 7371 10289 14742 20578 22113 30867 44226 61734 72023 92601 133757 144046 185202 216069 267514 277803 401271 432138 555606 648207 802542 833409 936299 1203813 1296414 1666818 1872598 1944621 2407626 2500227 2808897 3611439 3889242 5000454 5617794 5833863 7222878 8426691 10834317 11667726 16853382 17501589 21668634 25280073 32502951 35003178 50560146 65005902 75840219 151680438 227520657 455041314