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66040544 = 2523531693
BaseRepresentation
bin1111101111101…
…1001011100000
311121021012121002
43323323023200
5113401244134
610315251132
71431223013
oct373731340
9147235532
1066040544
1134307269
121a149aa8
13108b355b
148ab137a
155be787e
hex3efb2e0

66040544 has 48 divisors (see below), whose sum is σ = 138311712. Its totient is φ = 30970368.

The previous prime is 66040543. The next prime is 66040573. The reversal of 66040544 is 44504066.

It is a super-2 number, since 2×660405442 = 8722706903631872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66040543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38162 + ... + 39854.

It is an arithmetic number, because the mean of its divisors is an integer number (2881494).

Almost surely, 266040544 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 66040544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69155856).

66040544 is an abundant number, since it is smaller than the sum of its proper divisors (72271168).

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

66040544 is a wasteful number, since it uses less digits than its factorization.

66040544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 66040544 is about 8126.5333322395. The cubic root of 66040544 is about 404.2067366562.

The spelling of 66040544 in words is "sixty-six million, forty thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 53 92 106 184 212 368 424 736 848 1219 1693 1696 2438 3386 4876 6772 9752 13544 19504 27088 38939 39008 54176 77878 89729 155756 179458 311512 358916 623024 717832 1246048 1435664 2063767 2871328 4127534 8255068 16510136 33020272 66040544