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53527012 = 22721123761
BaseRepresentation
bin1100110000110…
…0000111100100
310201201110020221
43030030013210
5102200331022
65151134124
71216654300
oct314140744
9121643227
1053527012
112823a700
1215b14344
13b1218b6
147174d00
154a74cc7
hex330c1e4

53527012 has 108 divisors (see below), whose sum is σ = 125025852. Its totient is φ = 19958400.

The previous prime is 53526997. The next prime is 53527021. The reversal of 53527012 is 21072535.

It can be written as a sum of positive squares in 2 ways, for example, as 22791076 + 30735936 = 4774^2 + 5544^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 877462 + ... + 877522.

Almost surely, 253527012 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 53527012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62512926).

53527012 is an abundant number, since it is smaller than the sum of its proper divisors (71498840).

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

53527012 is a wasteful number, since it uses less digits than its factorization.

53527012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 53527012 is about 7316.2156884553. The cubic root of 53527012 is about 376.8695076146.

Adding to 53527012 its reverse (21072535), we get a palindrome (74599547).

The spelling of 53527012 in words is "fifty-three million, five hundred twenty-seven thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 37 44 49 61 74 77 98 121 122 148 154 196 242 244 259 308 407 427 484 518 539 671 814 847 854 1036 1078 1342 1628 1694 1708 1813 2156 2257 2684 2849 2989 3388 3626 4477 4514 4697 5698 5929 5978 7252 7381 8954 9028 9394 11396 11858 11956 14762 15799 17908 18788 19943 23716 24827 29524 31339 31598 32879 39886 49654 51667 62678 63196 65758 79772 99308 103334 110593 125356 131516 173789 206668 219373 221186 273097 347578 361669 438746 442372 546194 695156 723338 877492 1092388 1216523 1446676 1911679 2433046 3823358 4866092 7646716 13381753 26763506 53527012