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71013852 = 223271353409
BaseRepresentation
bin1000011101110…
…01010111011100
311221121212200200
410032321113130
5121134420402
611014023500
71521415320
oct416712734
9157555620
1071013852
11370a3838
121b947b90
1311935140
149607980
15637b21c
hex43b95dc

71013852 has 144 divisors (see below), whose sum is σ = 225650880. Its totient is φ = 18330624.

The previous prime is 71013829. The next prime is 71013869. The reversal of 71013852 is 25831017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173424 + ... + 173832.

It is an arithmetic number, because the mean of its divisors is an integer number (1567020).

Almost surely, 271013852 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 71013852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112825440).

71013852 is an abundant number, since it is smaller than the sum of its proper divisors (154637028).

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

71013852 is a wasteful number, since it uses less digits than its factorization.

71013852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 71013852 is about 8426.9716980657. The cubic root of 71013852 is about 414.1087021149.

Adding to 71013852 its reverse (25831017), we get a palindrome (96844869).

The spelling of 71013852 in words is "seventy-one million, thirteen thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 53 63 78 84 91 106 117 126 156 159 182 212 234 252 273 318 364 371 409 468 477 546 636 689 742 818 819 954 1092 1113 1227 1378 1484 1636 1638 1908 2067 2226 2454 2756 2863 3276 3339 3681 4134 4452 4823 4908 5317 5726 6201 6678 7362 8268 8589 9646 10634 11452 12402 13356 14469 14724 15951 17178 19292 21268 21677 24804 25767 28938 31902 34356 37219 43354 43407 47853 51534 57876 63804 65031 74438 86708 86814 95706 103068 111657 130062 148876 151739 173628 191412 195093 223314 260124 281801 303478 334971 390186 446628 455217 563602 606956 669942 780372 845403 910434 1127204 1339884 1365651 1690806 1820868 1972607 2536209 2731302 3381612 3945214 5072418 5462604 5917821 7890428 10144836 11835642 17753463 23671284 35506926 71013852