Search a number
-
+
666544536 = 233275324953
BaseRepresentation
bin100111101110101…
…010100110011000
31201110012222012200
4213232222212120
52331113411121
6150050210200
722342351350
oct4756524630
91643188180
10666544536
11312279859
12167283960
13a8127668
1464749b60
153d7b4a26
hex27baa998

666544536 has 96 divisors (see below), whose sum is σ = 2102124960. Its totient is φ = 186840576.

The previous prime is 666544519. The next prime is 666544537. The reversal of 666544536 is 635445666.

It is a junction number, because it is equal to n+sod(n) for n = 666544491 and 666544500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (666544537) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14236 + ... + 39188.

It is an arithmetic number, because the mean of its divisors is an integer number (21897135).

Almost surely, 2666544536 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 666544536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051062480).

666544536 is an abundant number, since it is smaller than the sum of its proper divisors (1435580424).

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

666544536 is a wasteful number, since it uses less digits than its factorization.

666544536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25025 (or 25018 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The square root of 666544536 is about 25817.5238161990. The cubic root of 666544536 is about 873.5271159961.

It can be divided in two parts, 66654 and 4536, that multiplied together give a square (302342544 = 173882).

The spelling of 666544536 in words is "six hundred sixty-six million, five hundred forty-four thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 53 56 63 72 84 106 126 159 168 212 252 318 371 424 477 504 636 742 954 1113 1272 1484 1908 2226 2968 3339 3816 4452 6678 8904 13356 24953 26712 49906 74859 99812 149718 174671 199624 224577 299436 349342 449154 524013 598872 698684 898308 1048026 1322509 1397368 1572039 1796616 2096052 2645018 3144078 3967527 4192104 5290036 6288156 7935054 9257563 10580072 11902581 12576312 15870108 18515126 23805162 27772689 31740216 37030252 47610324 55545378 74060504 83318067 95220648 111090756 166636134 222181512 333272268 666544536