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53785940 = 22513215913
BaseRepresentation
bin1100110100101…
…1010101010100
310202012121102212
43031023111110
5102232122230
65200452552
71222113215
oct315132524
9122177385
1053785940
11283a719a
121601a158
13b1b2700
14720140c
154ac6895
hex334b554

53785940 has 36 divisors (see below), whose sum is σ = 122315004. Its totient is φ = 19858176.

The previous prime is 53785933. The next prime is 53785951. The reversal of 53785940 is 4958735.

53785940 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 6 ways, for example, as 4477456 + 49308484 = 2116^2 + 7022^2 .

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 11 ways as a sum of consecutive naturals, for example, 4577 + ... + 11336.

It is an arithmetic number, because the mean of its divisors is an integer number (3397639).

Almost surely, 253785940 is an apocalyptic number.

It is an amenable number.

53785940 is an abundant number, since it is smaller than the sum of its proper divisors (68529064).

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

53785940 is a wasteful number, since it uses less digits than its factorization.

53785940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15948 (or 15933 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The square root of 53785940 is about 7333.8898273699. The cubic root of 53785940 is about 377.4762115326.

The spelling of 53785940 in words is "fifty-three million, seven hundred eighty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 15913 31826 63652 79565 159130 206869 318260 413738 827476 1034345 2068690 2689297 4137380 5378594 10757188 13446485 26892970 53785940