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53303052 = 223112397181
BaseRepresentation
bin1100101101010…
…1011100001100
310201022002001010
43023111130030
5102121144202
65142245220
71215032325
oct313253414
9121262033
1053303052
11280a7410
1215a26810
13b07398a
14711744c
154a2d76c
hex32d570c

53303052 has 96 divisors (see below), whose sum is σ = 143829504. Its totient is φ = 15206400.

The previous prime is 53303039. The next prime is 53303057. The reversal of 53303052 is 25030335.

53303052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (53303057) 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 31 ways as a sum of consecutive naturals, for example, 294402 + ... + 294582.

It is an arithmetic number, because the mean of its divisors is an integer number (1498224).

Almost surely, 253303052 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 53303052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71914752).

53303052 is an abundant number, since it is smaller than the sum of its proper divisors (90526452).

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

53303052 is a wasteful number, since it uses less digits than its factorization.

53303052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 21.

The square root of 53303052 is about 7300.8939178706. The cubic root of 53303052 is about 376.3431585013.

Adding to 53303052 its reverse (25030335), we get a palindrome (78333387).

The spelling of 53303052 in words is "fifty-three million, three hundred three thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 97 132 138 181 194 253 276 291 362 388 506 543 582 724 759 1012 1067 1086 1164 1518 1991 2134 2172 2231 3036 3201 3982 4163 4268 4462 5973 6402 6693 7964 8326 8924 11946 12489 12804 13386 16652 17557 23892 24541 24978 26772 35114 45793 49082 49956 52671 70228 73623 91586 98164 105342 137379 147246 183172 193127 210684 274758 294492 386254 403811 549516 579381 772508 807622 1158762 1211433 1615244 2317524 2422866 4441921 4845732 8883842 13325763 17767684 26651526 53303052