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71082424 = 23747113239
BaseRepresentation
bin1000011110010…
…10000110111000
311221202100202101
410033022012320
5121144114144
611015313144
71522122250
oct417120670
9157670671
1071082424
1137140306
121b97b7b4
131195a40a
149624960
1563916d4
hex43ca1b8

71082424 has 64 divisors (see below), whose sum is σ = 157593600. Its totient is φ = 29428224.

The previous prime is 71082421. The next prime is 71082449. The reversal of 71082424 is 42428017.

It is a super-2 number, since 2×710824242 = 10105422003431552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 71082392 and 71082401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71082421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297297 + ... + 297535.

It is an arithmetic number, because the mean of its divisors is an integer number (2462400).

Almost surely, 271082424 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 71082424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78796800).

71082424 is an abundant number, since it is smaller than the sum of its proper divisors (86511176).

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

71082424 is a wasteful number, since it uses less digits than its factorization.

71082424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 71082424 is about 8431.0393190875. The cubic root of 71082424 is about 414.2419490147.

The spelling of 71082424 in words is "seventy-one million, eighty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 47 56 94 113 188 226 239 329 376 452 478 658 791 904 956 1316 1582 1673 1912 2632 3164 3346 5311 6328 6692 10622 11233 13384 21244 22466 27007 37177 42488 44932 54014 74354 78631 89864 108028 148708 157262 189049 216056 297416 314524 378098 629048 756196 1269329 1512392 2538658 5077316 8885303 10154632 17770606 35541212 71082424