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66423144 = 2335961769
BaseRepresentation
bin1111110101100…
…0100101101000
311121222122102110
43331120211220
5114001020034
610331402320
71434405324
oct375304550
9147878373
1066423144
1134548767
121a2b33a0
13109b8748
148b70984
155c70de9
hex3f58968

66423144 has 64 divisors (see below), whose sum is σ = 171864000. Its totient is φ = 21381120.

The previous prime is 66423143. The next prime is 66423163. The reversal of 66423144 is 44132466.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (66423143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85992 + ... + 86760.

It is an arithmetic number, because the mean of its divisors is an integer number (2685375).

Almost surely, 266423144 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 66423144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85932000).

66423144 is an abundant number, since it is smaller than the sum of its proper divisors (105440856).

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

66423144 is a wasteful number, since it uses less digits than its factorization.

66423144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 894 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 66423144 is about 8150.0395091067. The cubic root of 66423144 is about 404.9858126413.

The spelling of 66423144 in words is "sixty-six million, four hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 59 61 118 122 177 183 236 244 354 366 472 488 708 732 769 1416 1464 1538 2307 3076 3599 4614 6152 7198 9228 10797 14396 18456 21594 28792 43188 45371 46909 86376 90742 93818 136113 140727 181484 187636 272226 281454 362968 375272 544452 562908 1088904 1125816 2767631 5535262 8302893 11070524 16605786 22141048 33211572 66423144