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66544842 = 23721323757
BaseRepresentation
bin1111110111011…
…0010011001010
311122012211100210
43331312103022
5114013413332
610334141550
71435423200
oct375662312
9148184323
1066544842
1134621141
121a3518b6
1310a2bc60
148ba3070
155c96ecc
hex3f764ca

66544842 has 96 divisors (see below), whose sum is σ = 174206592. Its totient is φ = 16765056.

The previous prime is 66544801. The next prime is 66544843. The reversal of 66544842 is 24844566.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 66544842.

It is not an unprimeable number, because it can be changed into a prime (66544843) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87528 + ... + 88284.

It is an arithmetic number, because the mean of its divisors is an integer number (1814652).

Almost surely, 266544842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66544842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87103296).

66544842 is an abundant number, since it is smaller than the sum of its proper divisors (107661750).

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

66544842 is a wasteful number, since it uses less digits than its factorization.

66544842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 805 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The square root of 66544842 is about 8157.5021912348. The cubic root of 66544842 is about 405.2329950293.

The spelling of 66544842 in words is "sixty-six million, five hundred forty-four thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 23 26 39 42 46 49 69 78 91 98 138 147 161 182 273 294 299 322 483 546 598 637 757 897 966 1127 1274 1514 1794 1911 2093 2254 2271 3381 3822 4186 4542 5299 6279 6762 9841 10598 12558 14651 15897 17411 19682 29302 29523 31794 34822 37093 43953 52233 59046 68887 74186 87906 104466 111279 121877 137774 206661 222558 226343 243754 365631 413322 452686 482209 679029 731262 853139 964418 1358058 1446627 1584401 1706278 2559417 2893254 3168802 4753203 5118834 9506406 11090807 22181614 33272421 66544842