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450541013 = 1329472541
BaseRepresentation
bin11010110110101…
…011010111010101
31011101202212002012
4122312223113111
51410314303023
6112412354005
714110351436
oct3266532725
91141685065
10450541013
1121135614a
12106a75905
1372459020
1443b9d48d
1529848978
hex1adab5d5

450541013 has 24 divisors (see below), whose sum is σ = 513783480. Its totient is φ = 392273280.

The previous prime is 450541001. The next prime is 450541027. The reversal of 450541013 is 310145054.

It can be written as a sum of positive squares in 4 ways, for example, as 11135569 + 439405444 = 3337^2 + 20962^2 .

It is not a de Polignac number, because 450541013 - 220 = 449492437 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 450541013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450541033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 832523 + ... + 833063.

It is an arithmetic number, because the mean of its divisors is an integer number (21407645).

Almost surely, 2450541013 is an apocalyptic number.

It is an amenable number.

450541013 is a deficient number, since it is larger than the sum of its proper divisors (63242467).

450541013 is a wasteful number, since it uses less digits than its factorization.

450541013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 450541013 is about 21225.9514038829. The cubic root of 450541013 is about 766.6164081946.

Adding to 450541013 its reverse (310145054), we get a palindrome (760686067).

The spelling of 450541013 in words is "four hundred fifty million, five hundred forty-one thousand, thirteen".

Divisors: 1 13 29 47 377 541 611 1363 2209 7033 15689 17719 25427 28717 64061 203957 330551 737383 832793 1195069 9585979 15535897 34657001 450541013