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45834138 = 23271392617
BaseRepresentation
bin1010111011010…
…1111110011010
310012020121121200
42232311332122
543213143023
64314215030
71064404140
oct256657632
9105217550
1045834138
1123965959
1213424476
13965a1bc
146131590
154055743
hex2bb5f9a

45834138 has 48 divisors (see below), whose sum is σ = 114354240. Its totient is φ = 12996288.

The previous prime is 45834067. The next prime is 45834163. The reversal of 45834138 is 83143854.

45834138 is a `hidden beast` number, since 4 + 583 + 41 + 38 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16206 + ... + 18822.

It is an arithmetic number, because the mean of its divisors is an integer number (2382380).

Almost surely, 245834138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45834138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57177120).

45834138 is an abundant number, since it is smaller than the sum of its proper divisors (68520102).

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

45834138 is a wasteful number, since it uses less digits than its factorization.

45834138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771 (or 2768 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 45834138 is about 6770.0914321743. The cubic root of 45834138 is about 357.8736224651.

It can be divided in two parts, 458 and 34138, that added together give a square (34596 = 1862).

The spelling of 45834138 in words is "forty-five million, eight hundred thirty-four thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 139 278 417 834 973 1251 1946 2502 2617 2919 5234 5838 7851 8757 15702 17514 18319 23553 36638 47106 54957 109914 164871 329742 363763 727526 1091289 2182578 2546341 3273867 5092682 6547734 7639023 15278046 22917069 45834138