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71422656 = 2634143211
BaseRepresentation
bin1000100000111…
…01001011000000
311222101122110120
410100131023000
5121241011111
611030500240
71525040214
oct420351300
9158348416
1071422656
1137352998
121bb04680
1311a49236
1496b2944
15640c406
hex441d2c0

71422656 has 112 divisors (see below), whose sum is σ = 199022208. Its totient is φ = 22579200.

The previous prime is 71422651. The next prime is 71422709. The reversal of 71422656 is 65622417.

It is not an unprimeable number, because it can be changed into a prime (71422651) 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, 338391 + ... + 338601.

It is an arithmetic number, because the mean of its divisors is an integer number (1776984).

Almost surely, 271422656 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 71422656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99511104).

71422656 is an abundant number, since it is smaller than the sum of its proper divisors (127599552).

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

71422656 is a wasteful number, since it uses less digits than its factorization.

71422656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 300 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 71422656 is about 8451.1925785655. The cubic root of 71422656 is about 414.9018125479.

The spelling of 71422656 in words is "seventy-one million, four hundred twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 43 48 64 82 86 96 123 129 164 172 192 211 246 258 328 344 422 492 516 633 656 688 844 984 1032 1266 1312 1376 1688 1763 1968 2064 2532 2624 2752 3376 3526 3936 4128 5064 5289 6752 7052 7872 8256 8651 9073 10128 10578 13504 14104 17302 18146 20256 21156 25953 27219 28208 34604 36292 40512 42312 51906 54438 56416 69208 72584 84624 103812 108876 112832 138416 145168 169248 207624 217752 276832 290336 338496 371993 415248 435504 553664 580672 743986 830496 871008 1115979 1487972 1660992 1742016 2231958 2975944 4463916 5951888 8927832 11903776 17855664 23807552 35711328 71422656