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45885006 = 232171131327
BaseRepresentation
bin1010111100001…
…0011001001110
310012100012101200
42233002121032
543221310011
64315250330
71065005346
oct257023116
9105305350
1045885006
11239a00a2
12134499a6
1396773bb
146145d26
154065856
hex2bc264e

45885006 has 48 divisors (see below), whose sum is σ = 106277184. Its totient is φ = 14257152.

The previous prime is 45885001. The next prime is 45885013. The reversal of 45885006 is 60058854.

It is a happy number.

45885006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45885001) 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 23 ways as a sum of consecutive naturals, for example, 33915 + ... + 35241.

It is an arithmetic number, because the mean of its divisors is an integer number (2214108).

Almost surely, 245885006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45885006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53138592).

45885006 is an abundant number, since it is smaller than the sum of its proper divisors (60392178).

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

45885006 is a wasteful number, since it uses less digits than its factorization.

45885006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 45885006 is about 6773.8472081971. The cubic root of 45885006 is about 358.0059662146.

The spelling of 45885006 in words is "forty-five million, eight hundred eighty-five thousand, six".

Divisors: 1 2 3 6 9 17 18 34 51 102 113 153 226 306 339 678 1017 1327 1921 2034 2654 3842 3981 5763 7962 11526 11943 17289 22559 23886 34578 45118 67677 135354 149951 203031 299902 406062 449853 899706 1349559 2549167 2699118 5098334 7647501 15295002 22942503 45885006