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66526164 = 22332712273
BaseRepresentation
bin1111110111000…
…1101111010100
311122011212202000
43331301233110
5114012314124
610333515300
71435314555
oct375615724
9148155660
1066526164
1134609101
121a342b30
1310a235c3
148b9a32c
155c916c9
hex3f71bd4

66526164 has 48 divisors (see below), whose sum is σ = 173187840. Its totient is φ = 22083840.

The previous prime is 66526157. The next prime is 66526193. The reversal of 66526164 is 46162566.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28132 + ... + 30404.

It is an arithmetic number, because the mean of its divisors is an integer number (3608080).

Almost surely, 266526164 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 66526164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86593920).

66526164 is an abundant number, since it is smaller than the sum of its proper divisors (106661676).

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

66526164 is a wasteful number, since it uses less digits than its factorization.

66526164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2557 (or 2549 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 66526164 is about 8156.3572751566. The cubic root of 66526164 is about 405.1950774892.

The spelling of 66526164 in words is "sixty-six million, five hundred twenty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 271 542 813 1084 1626 2273 2439 3252 4546 4878 6819 7317 9092 9756 13638 14634 20457 27276 29268 40914 61371 81828 122742 245484 615983 1231966 1847949 2463932 3695898 5543847 7391796 11087694 16631541 22175388 33263082 66526164