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66380808 = 233131511409
BaseRepresentation
bin1111110100111…
…0010000001000
311121220111100110
43331032100020
5113443141213
610330434320
71434141024
oct375162010
9147814313
1066380808
113451997a
121a2929a0
13109a23b0
148b5d384
155c635c3
hex3f4e408

66380808 has 64 divisors (see below), whose sum is σ = 180028800. Its totient is φ = 20275200.

The previous prime is 66380807. The next prime is 66380819. The reversal of 66380808 is 80808366.

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

It is not an unprimeable number, because it can be changed into a prime (66380803) 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, 46408 + ... + 47816.

It is an arithmetic number, because the mean of its divisors is an integer number (2812950).

Almost surely, 266380808 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 66380808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90014400).

66380808 is an abundant number, since it is smaller than the sum of its proper divisors (113647992).

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

66380808 is a wasteful number, since it uses less digits than its factorization.

66380808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 66380808 is about 8147.4418070950. The cubic root of 66380808 is about 404.8997526613.

The spelling of 66380808 in words is "sixty-six million, three hundred eighty thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 151 156 302 312 453 604 906 1208 1409 1812 1963 2818 3624 3926 4227 5636 5889 7852 8454 11272 11778 15704 16908 18317 23556 33816 36634 47112 54951 73268 109902 146536 212759 219804 425518 439608 638277 851036 1276554 1702072 2553108 2765867 5106216 5531734 8297601 11063468 16595202 22126936 33190404 66380808