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450585054 = 232731372503
BaseRepresentation
bin11010110110110…
…110000111011110
31011101212002111100
4122312312013132
51410322210204
6112413333530
714110624023
oct3266660736
91141762440
10450585054
11211386247
12106a972a6
137247309a
1443bb154a
1529856a39
hex1adb61de

450585054 has 48 divisors (see below), whose sum is σ = 997263072. Its totient is φ = 146997504.

The previous prime is 450585043. The next prime is 450585061.

450585054 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178767 + ... + 181269.

It is an arithmetic number, because the mean of its divisors is an integer number (20776314).

Almost surely, 2450585054 is an apocalyptic number.

450585054 is an abundant number, since it is smaller than the sum of its proper divisors (546678018).

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

450585054 is a wasteful number, since it uses less digits than its factorization.

450585054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2721 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The square root of 450585054 is about 21226.9888114165. The cubic root of 450585054 is about 766.6413866480.

Subtracting from 450585054 its product of nonzero digits (80000), we obtain a palindrome (450505054).

The spelling of 450585054 in words is "four hundred fifty million, five hundred eighty-five thousand, fifty-four".

Divisors: 1 2 3 6 9 18 73 137 146 219 274 411 438 657 822 1233 1314 2466 2503 5006 7509 10001 15018 20002 22527 30003 45054 60006 90009 180018 182719 342911 365438 548157 685822 1028733 1096314 1644471 2057466 3086199 3288942 6172398 25032503 50065006 75097509 150195018 225292527 450585054