Search a number
-
+
66112488 = 233213233783
BaseRepresentation
bin1111110000110…
…0101111101000
311121101212021200
43330030233220
5113411044423
610321004200
71431642531
oct374145750
9147355250
1066112488
1134356322
121a183660
131090a220
148acd688
155c0dd43
hex3f0cbe8

66112488 has 192 divisors, whose sum is σ = 209139840. Its totient is φ = 18703872.

The previous prime is 66112463. The next prime is 66112531. The reversal of 66112488 is 88421166.

66112488 is a `hidden beast` number, since 66 + 112 + 488 = 666.

It is a super-2 number, since 2×661124882 = 8741722139100288, which contains 22 as substring.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 796495 + ... + 796577.

It is an arithmetic number, because the mean of its divisors is an integer number (1089270).

Almost surely, 266112488 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 66112488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104569920).

66112488 is an abundant number, since it is smaller than the sum of its proper divisors (143027352).

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

66112488 is a wasteful number, since it uses less digits than its factorization.

66112488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 161 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 66112488 is about 8130.9586150712. The cubic root of 66112488 is about 404.3534631677.

The spelling of 66112488 in words is "sixty-six million, one hundred twelve thousand, four hundred eighty-eight".