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53314768 = 2413219717
BaseRepresentation
bin1100101101100…
…0010011010000
310201022200010001
43023120103100
5102122033033
65142415344
71215111433
oct313302320
9121280101
1053314768
11281051a1
1215a31554
13b079100
14711b81a
154a31e7d
hex32d84d0

53314768 has 30 divisors (see below), whose sum is σ = 111860214. Its totient is φ = 24605568.

The previous prime is 53314721. The next prime is 53314787. The reversal of 53314768 is 86741335.

It can be written as a sum of positive squares in 3 ways, for example, as 3640464 + 49674304 = 1908^2 + 7048^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 7155 + ... + 12562.

Almost surely, 253314768 is an apocalyptic number.

It is an amenable number.

53314768 is an abundant number, since it is smaller than the sum of its proper divisors (58545446).

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

53314768 is a wasteful number, since it uses less digits than its factorization.

53314768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19751 (or 19732 counting only the distinct ones).

The product of its digits is 60480, while the sum is 37.

The square root of 53314768 is about 7301.6962412853. The cubic root of 53314768 is about 376.3707298646.

It can be divided in two parts, 53 and 314768, that added together give a triangular number (314821 = T793).

The spelling of 53314768 in words is "fifty-three million, three hundred fourteen thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 19717 39434 78868 157736 256321 315472 512642 1025284 2050568 3332173 4101136 6664346 13328692 26657384 53314768