Search a number
-
+
450806538 = 23713899277
BaseRepresentation
bin11010110111101…
…100001100001010
31011102021100022110
4122313230030022
51410401302123
6112422203150
714112535530
oct3267541412
91142240273
10450806538
11211517696
12106b834b6
137251cb40
1443c2c150
152989c493
hex1adec30a

450806538 has 64 divisors (see below), whose sum is σ = 1122266880. Its totient is φ = 117545472.

The previous prime is 450806533. The next prime is 450806549. The reversal of 450806538 is 835608054.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 450806496 and 450806505.

It is not an unprimeable number, because it can be changed into a prime (450806533) 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, 43956 + ... + 53232.

It is an arithmetic number, because the mean of its divisors is an integer number (17535420).

Almost surely, 2450806538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450806538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561133440).

450806538 is an abundant number, since it is smaller than the sum of its proper divisors (671460342).

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

450806538 is a wasteful number, since it uses less digits than its factorization.

450806538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9391.

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 450806538 is about 21232.2052081266. The cubic root of 450806538 is about 766.7669796488.

The spelling of 450806538 in words is "four hundred fifty million, eight hundred six thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 89 91 178 182 267 273 534 546 623 1157 1246 1869 2314 3471 3738 6942 8099 9277 16198 18554 24297 27831 48594 55662 64939 120601 129878 194817 241202 361803 389634 723606 825653 844207 1651306 1688414 2476959 2532621 4953918 5065242 5779571 10733489 11559142 17338713 21466978 32200467 34677426 64400934 75134423 150268846 225403269 450806538