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71348256 = 2533747251
BaseRepresentation
bin1000100000010…
…11000000100000
311222020212102000
410100023000200
5121231121011
611025124000
71524310260
oct420130040
9158225360
1071348256
1137302001
121ba89600
1311a21405
1496937a0
1563e5356
hex440b020

71348256 has 192 divisors, whose sum is σ = 243855360. Its totient is φ = 19872000.

The previous prime is 71348243. The next prime is 71348257. The reversal of 71348256 is 65284317.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 71348256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71348257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284131 + ... + 284381.

It is an arithmetic number, because the mean of its divisors is an integer number (1270080).

Almost surely, 271348256 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 71348256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121927680).

71348256 is an abundant number, since it is smaller than the sum of its proper divisors (172507104).

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

71348256 is a wasteful number, since it uses less digits than its factorization.

71348256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 310 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 71348256 is about 8446.7896860287. The cubic root of 71348256 is about 414.7576966548.

The spelling of 71348256 in words is "seventy-one million, three hundred forty-eight thousand, two hundred fifty-six".