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71384652 = 22352712
BaseRepresentation
bin1000100000100…
…11111001001100
311222022201100000
410100103321030
5121233302102
611030004300
71524521343
oct420237114
9158281300
1071384652
1137327389
121baa6690
1311a34b51
1496a2b5a
15640101c
hex4413e4c

71384652 has 54 divisors (see below), whose sum is σ = 187820724. Its totient is φ = 23707080.

The previous prime is 71384639. The next prime is 71384657. The reversal of 71384652 is 25648317.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (54).

It is a super-2 number, since 2×713846522 = 10191537082322208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (71384657) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 263277 + ... + 263547.

Almost surely, 271384652 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 71384652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93910362).

71384652 is an abundant number, since it is smaller than the sum of its proper divisors (116436072).

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

71384652 is an equidigital number, since it uses as much as digits as its factorization.

71384652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 276 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 71384652 is about 8448.9438393210. The cubic root of 71384652 is about 414.8282097310.

The spelling of 71384652 in words is "seventy-one million, three hundred eighty-four thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 271 324 486 542 813 972 1084 1626 2439 3252 4878 7317 9756 14634 21951 29268 43902 65853 73441 87804 131706 146882 220323 263412 293764 440646 660969 881292 1321938 1982907 2643876 3965814 5948721 7931628 11897442 17846163 23794884 35692326 71384652