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53295336 = 2332898317
BaseRepresentation
bin1100101101001…
…1100011101000
310201021200110100
43023103203220
5102120422321
65142145400
71215000663
oct313234350
9121250410
1053295336
11280a1636
1215a22260
13b070303
1471146da
154a2b326
hex32d38e8

53295336 has 48 divisors (see below), whose sum is σ = 145980900. Its totient is φ = 17563392.

The previous prime is 53295313. The next prime is 53295337. The reversal of 53295336 is 63359235.

53295336 is a `hidden beast` number, since 532 + 95 + 3 + 36 = 666.

53295336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 51926436 + 1368900 = 7206^2 + 1170^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 53295336.

It is not an unprimeable number, because it can be changed into a prime (53295337) 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 11 ways as a sum of consecutive naturals, for example, 2250 + ... + 10566.

Almost surely, 253295336 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 53295336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72990450).

53295336 is an abundant number, since it is smaller than the sum of its proper divisors (92685564).

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

53295336 is a wasteful number, since it uses less digits than its factorization.

53295336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8418 (or 8411 counting only the distinct ones).

The product of its digits is 72900, while the sum is 36.

The square root of 53295336 is about 7300.3654703035. The cubic root of 53295336 is about 376.3249981657.

It can be divided in two parts, 53295 and 336, that multiplied together give a triangular number (17907120 = T5984).

The spelling of 53295336 in words is "fifty-three million, two hundred ninety-five thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 801 1068 1602 2136 3204 6408 8317 16634 24951 33268 49902 66536 74853 99804 149706 199608 299412 598824 740213 1480426 2220639 2960852 4441278 5921704 6661917 8882556 13323834 17765112 26647668 53295336