Search a number
-
+
71350528 = 281092557
BaseRepresentation
bin1000100000010…
…11100100000000
311222020222112011
410100023210000
5121231204103
611025142304
71524320014
oct420134400
9158228464
1071350528
1137303787
121ba8a994
1311a22462
149694544
1563e5d6d
hex440b900

71350528 has 36 divisors (see below), whose sum is σ = 143785180. Its totient is φ = 35334144.

The previous prime is 71350523. The next prime is 71350549. The reversal of 71350528 is 82505317.

It can be written as a sum of positive squares in 2 ways, for example, as 40347904 + 31002624 = 6352^2 + 5568^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 71350528.

It is not an unprimeable number, because it can be changed into a prime (71350523) 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 3 ways as a sum of consecutive naturals, for example, 26626 + ... + 29182.

Almost surely, 271350528 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 71350528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71892590).

71350528 is an abundant number, since it is smaller than the sum of its proper divisors (72434652).

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

71350528 is a wasteful number, since it uses less digits than its factorization.

71350528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 71350528 is about 8446.9241739227. The cubic root of 71350528 is about 414.7620990959.

The spelling of 71350528 in words is "seventy-one million, three hundred fifty thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 109 128 218 256 436 872 1744 2557 3488 5114 6976 10228 13952 20456 27904 40912 81824 163648 278713 327296 557426 654592 1114852 2229704 4459408 8918816 17837632 35675264 71350528