Search a number
-
+
71425728 = 26321111273
BaseRepresentation
bin1000100000111…
…01111011000000
311222101210200100
410100131323000
5121241110403
611030522400
71525052163
oct420357300
9158353610
1071425728
1137355230
121bb06400
1311a4a75a
1496b3ada
15640d2a3
hex441dec0

71425728 has 84 divisors (see below), whose sum is σ = 223360488. Its totient is φ = 21642240.

The previous prime is 71425727. The next prime is 71425747. The reversal of 71425728 is 82752417.

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

It is a junction number, because it is equal to n+sod(n) for n = 71425692 and 71425701.

It is not an unprimeable number, because it can be changed into a prime (71425723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 700 + ... + 11972.

Almost surely, 271425728 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 71425728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111680244).

71425728 is an abundant number, since it is smaller than the sum of its proper divisors (151934760).

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

71425728 is a wasteful number, since it uses less digits than its factorization.

71425728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11302 (or 11289 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 71425728 is about 8451.3743261082. The cubic root of 71425728 is about 414.9077609876.

The spelling of 71425728 in words is "seventy-one million, four hundred twenty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 11273 22546 33819 45092 67638 90184 101457 124003 135276 180368 202914 248006 270552 360736 372009 405828 496012 541104 721472 744018 811656 992024 1082208 1116027 1488036 1623312 1984048 2164416 2232054 2976072 3246624 3968096 4464108 5952144 6493248 7936192 8928216 11904288 17856432 23808576 35712864 71425728