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53393940 = 223251717449
BaseRepresentation
bin1100101110101…
…1101000010100
310201110200201100
43023223220110
5102132101230
65144230100
71215561315
oct313535024
9121420640
1053393940
1128159726
1215a6b330
13b0a6162
14713c60c
154a4a660
hex32eba14

53393940 has 72 divisors (see below), whose sum is σ = 171498600. Its totient is φ = 13400064.

The previous prime is 53393939. The next prime is 53393981. The reversal of 53393940 is 4939335.

It is a happy number.

53393940 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 4 ways, for example, as 28772496 + 24621444 = 5364^2 + 4962^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 53393895 and 53393904.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5665 + ... + 11784.

It is an arithmetic number, because the mean of its divisors is an integer number (2381925).

Almost surely, 253393940 is an apocalyptic number.

It is an amenable number.

53393940 is an abundant number, since it is smaller than the sum of its proper divisors (118104660).

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

53393940 is a wasteful number, since it uses less digits than its factorization.

53393940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17481 (or 17476 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 53393940 is about 7307.1157100459. The cubic root of 53393940 is about 376.5569402197.

The spelling of 53393940 in words is "fifty-three million, three hundred ninety-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 17449 34898 52347 69796 87245 104694 157041 174490 209388 261735 296633 314082 348980 523470 593266 628164 785205 889899 1046940 1186532 1483165 1570410 1779798 2669697 2966330 3140820 3559596 4449495 5339394 5932660 8898990 10678788 13348485 17797980 26696970 53393940