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71443744 = 253783727
BaseRepresentation
bin1000100001000…
…10010100100000
311222102201101121
410100202110200
5121242144434
611031142024
71525155541
oct420422440
9158381347
1071443744
1137367819
121bb14914
1311a55a08
1496ba4c8
1564137b4
hex4422520

71443744 has 48 divisors (see below), whose sum is σ = 146397888. Its totient is φ = 34290432.

The previous prime is 71443739. The next prime is 71443751. The reversal of 71443744 is 44734417.

71443744 = T267 + T268 + ... + T764.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97909 + ... + 98635.

It is an arithmetic number, because the mean of its divisors is an integer number (3049956).

Almost surely, 271443744 is an apocalyptic number.

71443744 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71443744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73198944).

71443744 is an abundant number, since it is smaller than the sum of its proper divisors (74954144).

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

71443744 is a wasteful number, since it uses less digits than its factorization.

71443744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 849 counting only the distinct ones).

The product of its digits is 37632, while the sum is 34.

The square root of 71443744 is about 8452.4401210538. The cubic root of 71443744 is about 414.9426426754.

The spelling of 71443744 in words is "seventy-one million, four hundred forty-three thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 37 74 83 148 166 296 332 592 664 727 1184 1328 1454 2656 2908 3071 5816 6142 11632 12284 23264 24568 26899 49136 53798 60341 98272 107596 120682 215192 241364 430384 482728 860768 965456 1930912 2232617 4465234 8930468 17860936 35721872 71443744