Search a number
-
+
53315232 = 253599413
BaseRepresentation
bin1100101101100…
…0011010100000
310201022200202020
43023120122200
5102122041412
65142421440
71215112665
oct313303240
9121280666
1053315232
1128105583
1215a31880
13b079399
14711ba6c
154a3218c
hex32d86a0

53315232 has 48 divisors (see below), whose sum is σ = 142339680. Its totient is φ = 17468672.

The previous prime is 53315221. The next prime is 53315237. The reversal of 53315232 is 23251335.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (53315237) 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 7 ways as a sum of consecutive naturals, for example, 958 + ... + 10370.

It is an arithmetic number, because the mean of its divisors is an integer number (2965410).

Almost surely, 253315232 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 53315232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71169840).

53315232 is an abundant number, since it is smaller than the sum of its proper divisors (89024448).

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

53315232 is a wasteful number, since it uses less digits than its factorization.

53315232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9485 (or 9477 counting only the distinct ones).

The product of its digits is 2700, while the sum is 24.

The square root of 53315232 is about 7301.7280146552. The cubic root of 53315232 is about 376.3718217166.

Adding to 53315232 its reverse (23251335), we get a palindrome (76566567).

The spelling of 53315232 in words is "fifty-three million, three hundred fifteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2832 5664 9413 18826 28239 37652 56478 75304 112956 150608 225912 301216 451824 555367 903648 1110734 1666101 2221468 3332202 4442936 6664404 8885872 13328808 17771744 26657616 53315232