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71657056 = 251926203
BaseRepresentation
bin1000100010101…
…10011001100000
311222211120000001
410101112121200
5121321011211
611035505344
71530034462
oct421263140
9158746001
1071657056
11374a3009
121bbb8254
1311acbb33
149734132
156456ac1
hex4456660

71657056 has 36 divisors (see below), whose sum is σ = 148914612. Its totient is φ = 33937344.

The previous prime is 71657051. The next prime is 71657063. The reversal of 71657056 is 65075617.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71657051) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8451 + ... + 14653.

It is an arithmetic number, because the mean of its divisors is an integer number (4136517).

Almost surely, 271657056 is an apocalyptic number.

71657056 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71657056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74457306).

71657056 is an abundant number, since it is smaller than the sum of its proper divisors (77257556).

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

71657056 is a wasteful number, since it uses less digits than its factorization.

71657056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6251 (or 6224 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 37.

The square root of 71657056 is about 8465.0490843231. The cubic root of 71657056 is about 415.3552017722.

The spelling of 71657056 in words is "seventy-one million, six hundred fifty-seven thousand, fifty-six".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 361 608 722 1444 2888 5776 6203 11552 12406 24812 49624 99248 117857 198496 235714 471428 942856 1885712 2239283 3771424 4478566 8957132 17914264 35828528 71657056