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71378748 = 223271491901
BaseRepresentation
bin1000100000100…
…10011100111100
311222022102020100
410100102130330
5121233104443
611025521100
71524465210
oct420223474
9158272210
1071378748
1137322a01
121baa3190
1311a3225c
1496a0940
1563ee3d3
hex441273c

71378748 has 72 divisors (see below), whose sum is σ = 207698400. Its totient is φ = 20246400.

The previous prime is 71378719. The next prime is 71378761. The reversal of 71378748 is 84787317.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 36598 + ... + 38498.

It is an arithmetic number, because the mean of its divisors is an integer number (2884700).

Almost surely, 271378748 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 71378748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103849200).

71378748 is an abundant number, since it is smaller than the sum of its proper divisors (136319652).

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

71378748 is a wasteful number, since it uses less digits than its factorization.

71378748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067 (or 2062 counting only the distinct ones).

The product of its digits is 263424, while the sum is 45.

The square root of 71378748 is about 8448.5944393136. The cubic root of 71378748 is about 414.8167730369.

The spelling of 71378748 in words is "seventy-one million, three hundred seventy-eight thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 149 252 298 447 596 894 1043 1341 1788 1901 2086 2682 3129 3802 4172 5364 5703 6258 7604 9387 11406 12516 13307 17109 18774 22812 26614 34218 37548 39921 53228 68436 79842 119763 159684 239526 283249 479052 566498 849747 1132996 1699494 1982743 2549241 3398988 3965486 5098482 5948229 7930972 10196964 11896458 17844687 23792916 35689374 71378748