Search a number
-
+
71016592 = 2429413733
BaseRepresentation
bin1000011101110…
…10000010010000
311221122000110011
410032322002100
5121140012332
611014044304
71521426313
oct416720220
9157560404
1071016592
11370a58a9
121b949694
131193646a
14960897a
15637be47
hex43ba090

71016592 has 40 divisors (see below), whose sum is σ = 145850040. Its totient is φ = 33438720.

The previous prime is 71016587. The next prime is 71016593. The reversal of 71016592 is 29561017.

It can be written as a sum of positive squares in 4 ways, for example, as 1527696 + 69488896 = 1236^2 + 8336^2 .

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (71016593) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17158 + ... + 20890.

It is an arithmetic number, because the mean of its divisors is an integer number (3646251).

Almost surely, 271016592 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 71016592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72925020).

71016592 is an abundant number, since it is smaller than the sum of its proper divisors (74833448).

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

71016592 is a wasteful number, since it uses less digits than its factorization.

71016592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3811 (or 3805 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 71016592 is about 8427.1342697266. The cubic root of 71016592 is about 414.1140280394.

The spelling of 71016592 in words is "seventy-one million, sixteen thousand, five hundred ninety-two".

Divisors: 1 2 4 8 16 29 41 58 82 116 164 232 328 464 656 1189 2378 3733 4756 7466 9512 14932 19024 29864 59728 108257 153053 216514 306106 433028 612212 866056 1224424 1732112 2448848 4438537 8877074 17754148 35508296 71016592