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66426336 = 2532230647
BaseRepresentation
bin1111110101100…
…1010111100000
311121222210210200
43331121113200
5114001120321
610331425200
71434420534
oct375312740
9147883720
1066426336
11345500a9
121a2b5200
13109ba032
148b71bc4
155c71d26
hex3f595e0

66426336 has 36 divisors (see below), whose sum is σ = 188900712. Its totient is φ = 22142016.

The previous prime is 66426319. The next prime is 66426341. The reversal of 66426336 is 63362466.

66426336 is a `hidden beast` number, since 6 + 642 + 6 + 3 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×664263362 = 8824916228769792, 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 a self number, because there is not a number n which added to its sum of digits gives 66426336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 115036 + ... + 115611.

It is an arithmetic number, because the mean of its divisors is an integer number (5247242).

Almost surely, 266426336 is an apocalyptic number.

It is an amenable number.

66426336 is an abundant number, since it is smaller than the sum of its proper divisors (122474376).

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

66426336 is a wasteful number, since it uses less digits than its factorization.

66426336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230663 (or 230652 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 66426336 is about 8150.2353340256. The cubic root of 66426336 is about 404.9922998079.

It can be divided in two parts, 664 and 26336, that added together give a cube (27000 = 303).

The spelling of 66426336 in words is "sixty-six million, four hundred twenty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 230647 461294 691941 922588 1383882 1845176 2075823 2767764 3690352 4151646 5535528 7380704 8303292 11071056 16606584 22142112 33213168 66426336