[go: up one dir, main page]

Search a number
-
+
53226432 = 2632743307
BaseRepresentation
bin1100101100001…
…0101111000000
310201011011221100
43023002233000
5102111221212
65140454400
71214263050
oct313025700
9121134840
1053226432
1128054896
12159aa400
13b047b3c
1470d7560
154a15bdc
hex32c2bc0

53226432 has 168 divisors, whose sum is σ = 178994816. Its totient is φ = 14805504.

The previous prime is 53226431. The next prime is 53226449. The reversal of 53226432 is 23462235.

53226432 is a `hidden beast` number, since 5 + 3 + 226 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 53226396 and 53226405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53226431) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 173223 + ... + 173529.

Almost surely, 253226432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53226432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89497408).

53226432 is an abundant number, since it is smaller than the sum of its proper divisors (125768384).

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

53226432 is a wasteful number, since it uses less digits than its factorization.

53226432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 362 counting only the distinct ones).

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

The square root of 53226432 is about 7295.6447281923. The cubic root of 53226432 is about 376.1627483173.

Adding to 53226432 its reverse (23462235), we get a palindrome (76688667).

The spelling of 53226432 in words is "fifty-three million, two hundred twenty-six thousand, four hundred thirty-two".