Search a number
-
+
53505606 = 23711179647
BaseRepresentation
bin1100110000011…
…0111001000110
310201200100220010
43030012321012
5102144134411
65150451050
71216535010
oct314067106
9121610803
1053505606
1128225610
1215b03a86
13b114c2b
14716b1b0
154a6d7a6
hex3306e46

53505606 has 64 divisors (see below), whose sum is σ = 134369280. Its totient is φ = 13798560.

The previous prime is 53505587. The next prime is 53505607. The reversal of 53505606 is 60650535.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53505607) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82375 + ... + 83021.

It is an arithmetic number, because the mean of its divisors is an integer number (2099520).

Almost surely, 253505606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53505606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67184640).

53505606 is an abundant number, since it is smaller than the sum of its proper divisors (80863674).

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

53505606 is a wasteful number, since it uses less digits than its factorization.

53505606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849.

The product of its (nonzero) digits is 13500, while the sum is 30.

The square root of 53505606 is about 7314.7526273962. The cubic root of 53505606 is about 376.8192629250.

Subtracting 53505606 from its reverse (60650535), we obtain a square (7144929 = 26732).

The spelling of 53505606 in words is "fifty-three million, five hundred five thousand, six hundred six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 179 231 358 462 537 647 1074 1253 1294 1941 1969 2506 3759 3882 3938 4529 5907 7117 7518 9058 11814 13587 13783 14234 21351 27174 27566 41349 42702 49819 82698 99638 115813 149457 231626 298914 347439 694878 810691 1273943 1621382 2432073 2547886 3821829 4864146 7643658 8917601 17835202 26752803 53505606