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66433552 = 2417467523
BaseRepresentation
bin1111110101101…
…1001000010000
311122000011200221
43331123020100
5114001333202
610331522424
71434450553
oct375331020
9148004627
1066433552
1134555569
121a2b9414
13109c03c3
148b7469a
155c74037
hex3f5b210

66433552 has 40 divisors (see below), whose sum is σ = 136839456. Its totient is φ = 31136256.

The previous prime is 66433547. The next prime is 66433559. The reversal of 66433552 is 25533466.

66433552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (66433559) 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 7 ways as a sum of consecutive naturals, for example, 126763 + ... + 127285.

Almost surely, 266433552 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 66433552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68419728).

66433552 is an abundant number, since it is smaller than the sum of its proper divisors (70405904).

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

66433552 is a wasteful number, since it uses less digits than its factorization.

66433552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1009 counting only the distinct ones).

The product of its digits is 64800, while the sum is 34.

The square root of 66433552 is about 8150.6780086076. The cubic root of 66433552 is about 405.0069642658.

The spelling of 66433552 in words is "sixty-six million, four hundred thirty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 467 523 934 1046 1868 2092 3736 4184 7472 7939 8368 8891 15878 17782 31756 35564 63512 71128 127024 142256 244241 488482 976964 1953928 3907856 4152097 8304194 16608388 33216776 66433552