Search a number
-
+
71442536 = 23111575171
BaseRepresentation
bin1000100001000…
…10000001101000
311222102122201212
410100202001220
5121242130121
611031132252
71525152164
oct420420150
9158378655
1071442536
1137366920
121bb14088
1311a552b9
1496b9ca4
15641325b
hex4422068

71442536 has 32 divisors (see below), whose sum is σ = 147091680. Its totient is φ = 32260800.

The previous prime is 71442533. The next prime is 71442583. The reversal of 71442536 is 63524417.

It is a super-3 number, since 3×714425363 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (71442533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11231 + ... + 16401.

It is an arithmetic number, because the mean of its divisors is an integer number (4596615).

Almost surely, 271442536 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 71442536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73545840).

71442536 is an abundant number, since it is smaller than the sum of its proper divisors (75649144).

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

71442536 is a wasteful number, since it uses less digits than its factorization.

71442536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5345 (or 5341 counting only the distinct ones).

The product of its digits is 20160, while the sum is 32.

The square root of 71442536 is about 8452.3686620970. The cubic root of 71442536 is about 414.9403039890.

The spelling of 71442536 in words is "seventy-one million, four hundred forty-two thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 22 44 88 157 314 628 1256 1727 3454 5171 6908 10342 13816 20684 41368 56881 113762 227524 455048 811847 1623694 3247388 6494776 8930317 17860634 35721268 71442536