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71431626 = 2373183661
BaseRepresentation
bin1000100000111…
…11010111001010
311222102002202210
410100133113022
5121241303001
611031005550
71525105320
oct420372712
9158362683
1071431626
1137359702
121bb098b6
1311a50346
1496b5d10
15640edd6
hex441f5ca

71431626 has 64 divisors (see below), whose sum is σ = 170827776. Its totient is φ = 19483200.

The previous prime is 71431601. The next prime is 71431627. The reversal of 71431626 is 62613417.

It is a junction number, because it is equal to n+sod(n) for n = 71431593 and 71431602.

It is not an unprimeable number, because it can be changed into a prime (71431627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107736 + ... + 108396.

It is an arithmetic number, because the mean of its divisors is an integer number (2669184).

Almost surely, 271431626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71431626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85413888).

71431626 is an abundant number, since it is smaller than the sum of its proper divisors (99396150).

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

71431626 is a wasteful number, since it uses less digits than its factorization.

71431626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787.

The product of its digits is 6048, while the sum is 30.

The square root of 71431626 is about 8451.7232562360. The cubic root of 71431626 is about 414.9191810491.

The spelling of 71431626 in words is "seventy-one million, four hundred thirty-one thousand, six hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 31 42 62 83 93 166 186 217 249 434 498 581 651 661 1162 1302 1322 1743 1983 2573 3486 3966 4627 5146 7719 9254 13881 15438 18011 20491 27762 36022 40982 54033 54863 61473 108066 109726 122946 143437 164589 286874 329178 384041 430311 768082 860622 1152123 1700753 2304246 3401506 5102259 10204518 11905271 23810542 35715813 71431626