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71146432 = 2674463
BaseRepresentation
bin1000011110110…
…01101111000000
311221212121120001
410033121233000
5121203141212
611020525344
71522510000
oct417315700
9157777501
1071146432
1137184405
121b9b0854
13119805a6
149640000
1563a5657
hex43d9bc0

71146432 has 70 divisors (see below), whose sum is σ = 165057328. Its totient is φ = 30425472.

The previous prime is 71146421. The next prime is 71146433. The reversal of 71146432 is 23464117.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 71146432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71146433) 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 9 ways as a sum of consecutive naturals, for example, 153433 + ... + 153895.

Almost surely, 271146432 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 71146432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82528664).

71146432 is an abundant number, since it is smaller than the sum of its proper divisors (93910896).

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

71146432 is an frugal number, since it uses more digits than its factorization.

71146432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 472 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 71146432 is about 8434.8344382092. The cubic root of 71146432 is about 414.3662499906.

The spelling of 71146432 in words is "seventy-one million, one hundred forty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 343 392 448 463 686 784 926 1372 1568 1852 2401 2744 3136 3241 3704 4802 5488 6482 7408 9604 10976 12964 14816 19208 21952 22687 25928 29632 38416 45374 51856 76832 90748 103712 153664 158809 181496 207424 317618 362992 635236 725984 1111663 1270472 1451968 2223326 2540944 4446652 5081888 8893304 10163776 17786608 35573216 71146432