Search a number
-
+
53209872 = 243441057
BaseRepresentation
bin1100101011111…
…0101100010000
310201010100020000
43022332230100
5102110203442
65140250000
71214163552
oct312765420
9121110200
1053209872
1128043401
12159a0900
13b040441
1470d14d2
154a10d4c
hex32beb10

53209872 has 50 divisors (see below), whose sum is σ = 154008558. Its totient is φ = 17736192.

The previous prime is 53209817. The next prime is 53209901. The reversal of 53209872 is 27890235.

It is a happy number.

53209872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 34857216 + 18352656 = 5904^2 + 4284^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 19233 + ... + 21824.

Almost surely, 253209872 is an apocalyptic number.

It is an amenable number.

53209872 is an abundant number, since it is smaller than the sum of its proper divisors (100798686).

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

53209872 is a wasteful number, since it uses less digits than its factorization.

53209872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41077 (or 41062 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 53209872 is about 7294.5097162181. The cubic root of 53209872 is about 376.1237332327.

The spelling of 53209872 in words is "fifty-three million, two hundred nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 41057 82114 123171 164228 246342 328456 369513 492684 656912 739026 985368 1108539 1478052 1970736 2217078 2956104 3325617 4434156 5912208 6651234 8868312 13302468 17736624 26604936 53209872