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450145311 = 3731139769
BaseRepresentation
bin11010110101001…
…010110000011111
31011101000202021120
4122311022300133
51410214122221
6112400102023
714104113000
oct3265126037
91141022246
10450145311
11211105920
12106904913
137234ab95
1443ad91a7
15297bb5c6
hex1ad4ac1f

450145311 has 32 divisors (see below), whose sum is σ = 763584000. Its totient is φ = 233835840.

The previous prime is 450145309. The next prime is 450145349. The reversal of 450145311 is 113541054.

It is a happy number.

It is not a de Polignac number, because 450145311 - 21 = 450145309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450145211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8566 + ... + 31203.

It is an arithmetic number, because the mean of its divisors is an integer number (23862000).

Almost surely, 2450145311 is an apocalyptic number.

450145311 is a deficient number, since it is larger than the sum of its proper divisors (313438689).

450145311 is a wasteful number, since it uses less digits than its factorization.

450145311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39804 (or 39790 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 450145311 is about 21216.6281722615. The cubic root of 450145311 is about 766.3919073612.

Adding to 450145311 its reverse (113541054), we get a palindrome (563686365).

The spelling of 450145311 in words is "four hundred fifty million, one hundred forty-five thousand, three hundred eleven".

Divisors: 1 3 7 11 21 33 49 77 147 231 343 539 1029 1617 3773 11319 39769 119307 278383 437459 835149 1312377 1948681 3062213 5846043 9186639 13640767 21435491 40922301 64306473 150048437 450145311