Search a number
-
+
442533213 = 3441133253
BaseRepresentation
bin11010011000001…
…000010101011101
31010211201000110000
4122120020111131
51401242030323
6111525004513
713652320203
oct3230102535
91124630400
10442533213
11207886831
12104253739
13708b4195
1442ab7073
1528cb5e43
hex1a60855d

442533213 has 20 divisors (see below), whose sum is σ = 677196828. Its totient is φ = 287824320.

The previous prime is 442533211. The next prime is 442533257. The reversal of 442533213 is 312335244.

442533213 is a `hidden beast` number, since 442 + 5 + 3 + 3 + 213 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 213101604 + 229431609 = 14598^2 + 15147^2 .

It is not a de Polignac number, because 442533213 - 21 = 442533211 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442533211) 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 19 ways as a sum of consecutive naturals, for example, 63306 + ... + 69947.

Almost surely, 2442533213 is an apocalyptic number.

It is an amenable number.

442533213 is a deficient number, since it is larger than the sum of its proper divisors (234663615).

442533213 is a wasteful number, since it uses less digits than its factorization.

442533213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133306 (or 133297 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 442533213 is about 21036.4733974115. The cubic root of 442533213 is about 762.0473496524.

Adding to 442533213 its reverse (312335244), we get a palindrome (754868457).

The spelling of 442533213 in words is "four hundred forty-two million, five hundred thirty-three thousand, two hundred thirteen".

Divisors: 1 3 9 27 41 81 123 369 1107 3321 133253 399759 1199277 3597831 5463373 10793493 16390119 49170357 147511071 442533213