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66242088 = 23321183639
BaseRepresentation
bin1111110010110…
…0011000101000
311121122110001200
43330230120220
5113424221323
610323444200
71433022423
oct374543050
9147573050
1066242088
1134434730
121a226660
1310954203
148b249ba
155c37443
hex3f2c628

66242088 has 48 divisors (see below), whose sum is σ = 195717600. Its totient is φ = 20073120.

The previous prime is 66242087. The next prime is 66242089. The reversal of 66242088 is 88024266.

66242088 is a `hidden beast` number, since 6 + 624 + 20 + 8 + 8 = 666.

66242088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66242087) and next prime (66242089).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (66242083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41028 + ... + 42611.

It is an arithmetic number, because the mean of its divisors is an integer number (4077450).

Almost surely, 266242088 is an apocalyptic number.

It is an amenable number.

66242088 is an abundant number, since it is smaller than the sum of its proper divisors (129475512).

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

66242088 is a wasteful number, since it uses less digits than its factorization.

66242088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83662 (or 83655 counting only the distinct ones).

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

The square root of 66242088 is about 8138.9242532413. The cubic root of 66242088 is about 404.6175081063.

The spelling of 66242088 in words is "sixty-six million, two hundred forty-two thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 83639 167278 250917 334556 501834 669112 752751 920029 1003668 1505502 1840058 2007336 2760087 3011004 3680116 5520174 6022008 7360232 8280261 11040348 16560522 22080696 33121044 66242088