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66628368 = 2432462697
BaseRepresentation
bin1111111000101…
…0101100010000
311122101001221100
43332022230100
5114024101433
610340024400
71436221542
oct376125420
9148331840
1066628368
1134678974
121a392100
1310a5ac91
148bc5692
155cb1b13
hex3f8ab10

66628368 has 30 divisors (see below), whose sum is σ = 186467294. Its totient is φ = 22209408.

The previous prime is 66628361. The next prime is 66628381. The reversal of 66628368 is 86382666.

66628368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 59721984 + 6906384 = 7728^2 + 2628^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (66628361) 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 5 ways as a sum of consecutive naturals, for example, 231205 + ... + 231492.

Almost surely, 266628368 is an apocalyptic number.

It is an amenable number.

66628368 is an abundant number, since it is smaller than the sum of its proper divisors (119838926).

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

66628368 is a wasteful number, since it uses less digits than its factorization.

66628368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462711 (or 462702 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 66628368 is about 8162.6201675687. The cubic root of 66628368 is about 405.4024714224.

The spelling of 66628368 in words is "sixty-six million, six hundred twenty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 462697 925394 1388091 1850788 2776182 3701576 4164273 5552364 7403152 8328546 11104728 16657092 22209456 33314184 66628368