Search a number
-
+
66644292 = 223111371547
BaseRepresentation
bin1111111000111…
…0100101000100
311122101212210010
43332032211010
5114030104132
610340230220
71436316141
oct376164504
9148355703
1066644292
1134689930
121a39b370
1310a652c0
148bcb3c8
155cb66cc
hex3f8e944

66644292 has 96 divisors (see below), whose sum is σ = 185601024. Its totient is φ = 18345600.

The previous prime is 66644239. The next prime is 66644299. The reversal of 66644292 is 29244666.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 66644292.

It is not an unprimeable number, because it can be changed into a prime (66644299) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121563 + ... + 122109.

It is an arithmetic number, because the mean of its divisors is an integer number (1933344).

Almost surely, 266644292 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 66644292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92800512).

66644292 is an abundant number, since it is smaller than the sum of its proper divisors (118956732).

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

66644292 is a wasteful number, since it uses less digits than its factorization.

66644292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 647 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 66644292 is about 8163.5955313820. The cubic root of 66644292 is about 405.4347655484.

The spelling of 66644292 in words is "sixty-six million, six hundred forty-four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 71 78 132 142 143 156 213 284 286 426 429 547 572 781 852 858 923 1094 1562 1641 1716 1846 2188 2343 2769 3124 3282 3692 4686 5538 6017 6564 7111 9372 10153 11076 12034 14222 18051 20306 21333 24068 28444 30459 36102 38837 40612 42666 60918 72204 77674 78221 85332 116511 121836 155348 156442 233022 234663 312884 427207 466044 469326 504881 854414 938652 1009762 1281621 1514643 1708828 2019524 2563242 3029286 5126484 5553691 6058572 11107382 16661073 22214764 33322146 66644292