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53585364 = 22371275023
BaseRepresentation
bin1100110001101…
…0010111010100
310201211102022010
43030122113110
5102204212424
65152304220
71220316360
oct314322724
9121742263
1053585364
112827a528
1215b42070
13b142321
14718c2a0
154a87229
hex331a5d4

53585364 has 48 divisors (see below), whose sum is σ = 144048128. Its totient is φ = 15186528.

The previous prime is 53585351. The next prime is 53585369. The reversal of 53585364 is 46358535.

53585364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53585369) 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 15 ways as a sum of consecutive naturals, for example, 8157 + ... + 13179.

Almost surely, 253585364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53585364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72024064).

53585364 is an abundant number, since it is smaller than the sum of its proper divisors (90462764).

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

53585364 is a wasteful number, since it uses less digits than its factorization.

53585364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5164 (or 5162 counting only the distinct ones).

The product of its digits is 216000, while the sum is 39.

The square root of 53585364 is about 7320.2024562166. The cubic root of 53585364 is about 377.0064048707.

The spelling of 53585364 in words is "fifty-three million, five hundred eighty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 127 254 381 508 762 889 1524 1778 2667 3556 5023 5334 10046 10668 15069 20092 30138 35161 60276 70322 105483 140644 210966 421932 637921 1275842 1913763 2551684 3827526 4465447 7655052 8930894 13396341 17861788 26792682 53585364