Search a number
-
+
438016016 = 24171610353
BaseRepresentation
bin11010000110111…
…001100000010000
31010112012112000102
4122012321200100
51344113003031
6111244111532
713566034424
oct3206714020
91115175012
10438016016
11205280a09
121028355a8
136c992099
144225cb84
15286c27cb
hex1a1b9810

438016016 has 20 divisors (see below), whose sum is σ = 898577532. Its totient is φ = 206125056.

The previous prime is 438016003. The next prime is 438016031. The reversal of 438016016 is 610610834.

It can be written as a sum of positive squares in 2 ways, for example, as 368793616 + 69222400 = 19204^2 + 8320^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 438016016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 804905 + ... + 805448.

Almost surely, 2438016016 is an apocalyptic number.

It is an amenable number.

438016016 is an abundant number, since it is smaller than the sum of its proper divisors (460561516).

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

438016016 is a wasteful number, since it uses less digits than its factorization.

438016016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610378 (or 1610372 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 438016016 is about 20928.8321699994. The cubic root of 438016016 is about 759.4455882741.

The spelling of 438016016 in words is "four hundred thirty-eight million, sixteen thousand, sixteen".

Divisors: 1 2 4 8 16 17 34 68 136 272 1610353 3220706 6441412 12882824 25765648 27376001 54752002 109504004 219008008 438016016