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53307232 = 2511374093
BaseRepresentation
bin1100101101011…
…0011101100000
310201022021202221
43023112131200
5102121312412
65142320424
71215050446
oct313263540
9121267687
1053307232
11280aa570
1215a29114
13b075854
147118b96
154a2eb07
hex32d6760

53307232 has 48 divisors (see below), whose sum is σ = 117612432. Its totient is φ = 23569920.

The previous prime is 53307227. The next prime is 53307239. The reversal of 53307232 is 23270335.

It is a happy number.

53307232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 53307197 and 53307206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53307239) 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 7 ways as a sum of consecutive naturals, for example, 10978 + ... + 15070.

It is an arithmetic number, because the mean of its divisors is an integer number (2450259).

Almost surely, 253307232 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 53307232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58806216).

53307232 is an abundant number, since it is smaller than the sum of its proper divisors (64305200).

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

53307232 is a wasteful number, since it uses less digits than its factorization.

53307232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4151 (or 4143 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 25.

The square root of 53307232 is about 7301.1801785739. The cubic root of 53307232 is about 376.3529957947.

Adding to 53307232 its reverse (23270335), we get a palindrome (76577567).

The spelling of 53307232 in words is "fifty-three million, three hundred seven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 37 44 74 88 148 176 296 352 407 592 814 1184 1628 3256 4093 6512 8186 13024 16372 32744 45023 65488 90046 130976 151441 180092 302882 360184 605764 720368 1211528 1440736 1665851 2423056 3331702 4846112 6663404 13326808 26653616 53307232