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71367252 = 223112232137
BaseRepresentation
bin1000100000011…
…11101001010100
311222021211110120
410100033221110
5121232223002
611025351540
71524416535
oct420175124
9158254416
1071367252
1137315300
121ba985b0
1311a29c58
14969a68c
1563eacbc
hex440fa54

71367252 has 72 divisors (see below), whose sum is σ = 191085888. Its totient is φ = 20676480.

The previous prime is 71367227. The next prime is 71367253. The reversal of 71367252 is 25276317.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71367253) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 32328 + ... + 34464.

Almost surely, 271367252 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 71367252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95542944).

71367252 is an abundant number, since it is smaller than the sum of its proper divisors (119718636).

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

71367252 is a wasteful number, since it uses less digits than its factorization.

71367252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189 (or 2176 counting only the distinct ones).

The product of its digits is 17640, while the sum is 33.

The square root of 71367252 is about 8447.9140620629. The cubic root of 71367252 is about 414.7945022174.

The spelling of 71367252 in words is "seventy-one million, three hundred sixty-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 121 132 138 242 253 276 363 484 506 726 759 1012 1452 1518 2137 2783 3036 4274 5566 6411 8349 8548 11132 12822 16698 23507 25644 33396 47014 49151 70521 94028 98302 141042 147453 196604 258577 282084 294906 517154 540661 589812 775731 1034308 1081322 1551462 1621983 2162644 3102924 3243966 5947271 6487932 11894542 17841813 23789084 35683626 71367252