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45061506 = 2327438317
BaseRepresentation
bin1010101111100…
…1010110000010
310010210100202200
42223321112002
543013432011
64245454030
71055005440
oct253712602
9103710680
1045061506
1123488416
1213111316
139449619
145dadb90
153e51856
hex2af9582

45061506 has 48 divisors (see below), whose sum is σ = 114189504. Its totient is φ = 12573792.

The previous prime is 45061487. The next prime is 45061519. The reversal of 45061506 is 60516054.

It is a happy number.

45061506 is a `hidden beast` number, since 4 + 506 + 150 + 6 = 666.

45061506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 45061506.

It is an unprimeable number.

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, 1260 + ... + 9576.

It is an arithmetic number, because the mean of its divisors is an integer number (2378948).

Almost surely, 245061506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45061506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57094752).

45061506 is an abundant number, since it is smaller than the sum of its proper divisors (69127998).

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

45061506 is a wasteful number, since it uses less digits than its factorization.

45061506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8375 (or 8372 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 45061506 is about 6712.7867536516. The cubic root of 45061506 is about 355.8513087331.

The spelling of 45061506 in words is "forty-five million, sixty-one thousand, five hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 126 129 258 301 387 602 774 903 1806 2709 5418 8317 16634 24951 49902 58219 74853 116438 149706 174657 349314 357631 523971 715262 1047942 1072893 2145786 2503417 3218679 5006834 6437358 7510251 15020502 22530753 45061506