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71016048 = 2433433823
BaseRepresentation
bin1000011101110…
…01111001110000
311221121222201000
410032321321300
5121140003143
611014042000
71521424605
oct416717160
9157558630
1071016048
11370a5454
121b949300
131193613c
1496086ac
15637bbd3
hex43b9e70

71016048 has 80 divisors (see below), whose sum is σ = 208637440. Its totient is φ = 23115456.

The previous prime is 71015993. The next prime is 71016067. The reversal of 71016048 is 84061017.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16665 + ... + 20487.

It is an arithmetic number, because the mean of its divisors is an integer number (2607968).

Almost surely, 271016048 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 71016048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104318720).

71016048 is an abundant number, since it is smaller than the sum of its proper divisors (137621392).

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

71016048 is a wasteful number, since it uses less digits than its factorization.

71016048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3883 (or 3871 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 71016048 is about 8427.1019929748. The cubic root of 71016048 is about 414.1129706405.

The spelling of 71016048 in words is "seventy-one million, sixteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 86 108 129 144 172 216 258 344 387 432 516 688 774 1032 1161 1548 2064 2322 3096 3823 4644 6192 7646 9288 11469 15292 18576 22938 30584 34407 45876 61168 68814 91752 103221 137628 164389 183504 206442 275256 328778 412884 493167 550512 657556 825768 986334 1315112 1479501 1651536 1972668 2630224 2959002 3945336 4438503 5918004 7890672 8877006 11836008 17754012 23672016 35508024 71016048