Search a number
-
+
53942805 = 3257199013
BaseRepresentation
bin1100110111000…
…1101000010101
310202111120121200
43031301220111
5102302132210
65204103113
71223335440
oct315615025
9122446550
1053942805
11284a4034
1216094a99
13b238c27
147242657
154b080c0
hex3371a15

53942805 has 48 divisors (see below), whose sum is σ = 112494720. Its totient is φ = 23359104.

The previous prime is 53942773. The next prime is 53942807. The reversal of 53942805 is 50824935.

53942805 is a `hidden beast` number, since 539 + 42 + 80 + 5 = 666.

53942805 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 53942805 - 25 = 53942773 is a prime.

It is a super-2 number, since 2×539428052 = 5819652422536050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 53942805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53942807) 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 47 ways as a sum of consecutive naturals, for example, 1479 + ... + 10491.

It is an arithmetic number, because the mean of its divisors is an integer number (2343640).

Almost surely, 253942805 is an apocalyptic number.

It is an amenable number.

53942805 is an abundant number, since it is smaller than the sum of its proper divisors (58551915).

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

53942805 is a wasteful number, since it uses less digits than its factorization.

53942805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9050 (or 9047 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 53942805 is about 7344.5765705043. The cubic root of 53942805 is about 377.8428211888.

The spelling of 53942805 in words is "fifty-three million, nine hundred forty-two thousand, eight hundred five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 285 315 399 665 855 1197 1995 5985 9013 27039 45065 63091 81117 135195 171247 189273 315455 405585 513741 567819 856235 946365 1198729 1541223 2568705 2839095 3596187 5993645 7706115 10788561 17980935 53942805