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45006126 = 23111076373
BaseRepresentation
bin1010101110101…
…1110100101110
310010200112210120
42223223310232
543010144001
64244345410
71054355124
oct253536456
9103615716
1045006126
112344a850
12130a5266
13942a359
145d97914
153e40236
hex2aebd2e

45006126 has 32 divisors (see below), whose sum is σ = 99128448. Its totient is φ = 13508640.

The previous prime is 45006113. The next prime is 45006131. The reversal of 45006126 is 62160054.

It is a junction number, because it is equal to n+sod(n) for n = 45006096 and 45006105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3876 + ... + 10248.

It is an arithmetic number, because the mean of its divisors is an integer number (3097764).

Almost surely, 245006126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45006126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49564224).

45006126 is an abundant number, since it is smaller than the sum of its proper divisors (54122322).

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

45006126 is a wasteful number, since it uses less digits than its factorization.

45006126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6496.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 45006126 is about 6708.6605220416. The cubic root of 45006126 is about 355.7054701080.

The spelling of 45006126 in words is "forty-five million, six thousand, one hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 66 107 214 321 642 1177 2354 3531 6373 7062 12746 19119 38238 70103 140206 210309 420618 681911 1363822 2045733 4091466 7501021 15002042 22503063 45006126