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71432544 = 2537310193
BaseRepresentation
bin1000100000111…
…11100101100000
311222102011000210
410100133211200
5121241320134
611031014120
71525111101
oct420374540
9158364023
1071432544
113735a367
121bb0a340
1311a508a1
1496b63a8
1564102e9
hex441f960

71432544 has 48 divisors (see below), whose sum is σ = 190097712. Its totient is φ = 23482368.

The previous prime is 71432531. The next prime is 71432561. The reversal of 71432544 is 44523417.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 1912 + ... + 12104.

It is an arithmetic number, because the mean of its divisors is an integer number (3960369).

Almost surely, 271432544 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 71432544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95048856).

71432544 is an abundant number, since it is smaller than the sum of its proper divisors (118665168).

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

71432544 is a wasteful number, since it uses less digits than its factorization.

71432544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10279 (or 10271 counting only the distinct ones).

The product of its digits is 13440, while the sum is 30.

The square root of 71432544 is about 8451.7775645127. Note that the first 3 decimals coincide. The cubic root of 71432544 is about 414.9209584793.

The spelling of 71432544 in words is "seventy-one million, four hundred thirty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 3504 7008 10193 20386 30579 40772 61158 81544 122316 163088 244632 326176 489264 744089 978528 1488178 2232267 2976356 4464534 5952712 8929068 11905424 17858136 23810848 35716272 71432544