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53305152 = 263313887
BaseRepresentation
bin1100101101010…
…1111101000000
310201022011220220
43023111331000
5102121231102
65142303040
71215041415
oct313257500
9121264826
1053305152
11280a8a4a
1215a27a80
13b074914
14711810c
154a2e1bc
hex32d5f40

53305152 has 56 divisors (see below), whose sum is σ = 141646656. Its totient is φ = 17691648.

The previous prime is 53305139. The next prime is 53305157. The reversal of 53305152 is 25150335.

53305152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53305157) 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, 59653 + ... + 60539.

Almost surely, 253305152 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 53305152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70823328).

53305152 is an abundant number, since it is smaller than the sum of its proper divisors (88341504).

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

53305152 is a wasteful number, since it uses less digits than its factorization.

53305152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 53305152 is about 7301.0377344594. The cubic root of 53305152 is about 376.3481007465.

Adding to 53305152 its reverse (25150335), we get a palindrome (78455487).

The spelling of 53305152 in words is "fifty-three million, three hundred five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 313 626 887 939 1252 1774 1878 2504 2661 3548 3756 5008 5322 7096 7512 10016 10644 14192 15024 20032 21288 28384 30048 42576 56768 60096 85152 170304 277631 555262 832893 1110524 1665786 2221048 3331572 4442096 6663144 8884192 13326288 17768384 26652576 53305152