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66440808 = 23327241547
BaseRepresentation
bin1111110101110…
…0111001101000
311122000112122200
43331130321220
5114002101213
610332020200
71434510660
oct375347150
9148015580
1066440808
113455aa65
121a301660
13109c37b5
148b771a0
155c76273
hex3f5ce68

66440808 has 96 divisors (see below), whose sum is σ = 206880960. Its totient is φ = 18869760.

The previous prime is 66440797. The next prime is 66440821. The reversal of 66440808 is 80804466.

66440808 is a `hidden beast` number, since 6 + 644 + 0 + 8 + 0 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121191 + ... + 121737.

It is an arithmetic number, because the mean of its divisors is an integer number (2155010).

Almost surely, 266440808 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 66440808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103440480).

66440808 is an abundant number, since it is smaller than the sum of its proper divisors (140440152).

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

66440808 is a wasteful number, since it uses less digits than its factorization.

66440808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 66440808 is about 8151.1231127986. The cubic root of 66440808 is about 405.0217089415.

The spelling of 66440808 in words is "sixty-six million, four hundred forty thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 241 252 482 504 547 723 964 1094 1446 1641 1687 1928 2169 2188 2892 3282 3374 3829 4338 4376 4923 5061 5784 6564 6748 7658 8676 9846 10122 11487 13128 13496 15183 15316 17352 19692 20244 22974 30366 30632 34461 39384 40488 45948 60732 68922 91896 121464 131827 137844 263654 275688 395481 527308 790962 922789 1054616 1186443 1581924 1845578 2372886 2768367 3163848 3691156 4745772 5536734 7382312 8305101 9491544 11073468 16610202 22146936 33220404 66440808