Search a number
-
+
450144464 = 24711365377
BaseRepresentation
bin11010110101001…
…010100011010000
31011101000201010012
4122311022203100
51410214110324
6112400054052
714104110350
oct3265124320
91141021105
10450144464
11211105220
12106904328
137234a693
1443ad8b60
15297bb20e
hex1ad4a8d0

450144464 has 40 divisors (see below), whose sum is σ = 1087364928. Its totient is φ = 175380480.

The previous prime is 450144463. The next prime is 450144481. The reversal of 450144464 is 464441054.

It is a self number, because there is not a number n which added to its sum of digits gives 450144464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450144463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181457 + ... + 183920.

Almost surely, 2450144464 is an apocalyptic number.

450144464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

450144464 is an abundant number, since it is smaller than the sum of its proper divisors (637220464).

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

450144464 is a wasteful number, since it uses less digits than its factorization.

450144464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365403 (or 365397 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The square root of 450144464 is about 21216.6082114932. The cubic root of 450144464 is about 766.3914266761.

The spelling of 450144464 in words is "four hundred fifty million, one hundred forty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 365377 730754 1461508 2557639 2923016 4019147 5115278 5846032 8038294 10230556 16076588 20461112 28134029 32153176 40922224 56268058 64306352 112536116 225072232 450144464