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66041152 = 26371672
BaseRepresentation
bin1111101111101…
…1010101000000
311121021020102121
43323323111000
5113401304102
610315254024
71431224542
oct373732500
9147236377
1066041152
1134307771
121a14a314
13108b3908
148ab1692
155be7b37
hex3efb540

66041152 has 42 divisors (see below), whose sum is σ = 135403082. Its totient is φ = 31935744.

The previous prime is 66041099. The next prime is 66041159. The reversal of 66041152 is 25114066.

It can be written as a sum of positive squares in only one way, i.e., 64256256 + 1784896 = 8016^2 + 1336^2 .

It is a super-2 number, since 2×660411522 = 8722867514974208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66041159) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 395373 + ... + 395539.

Almost surely, 266041152 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 66041152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67701541).

66041152 is an abundant number, since it is smaller than the sum of its proper divisors (69361930).

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

66041152 is an equidigital number, since it uses as much as digits as its factorization.

66041152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 66041152 is about 8126.5707404784. The cubic root of 66041152 is about 404.2079770909.

The spelling of 66041152 in words is "sixty-six million, forty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 37 64 74 148 167 296 334 592 668 1184 1336 2368 2672 5344 6179 10688 12358 24716 27889 49432 55778 98864 111556 197728 223112 395456 446224 892448 1031893 1784896 2063786 4127572 8255144 16510288 33020576 66041152