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45093834 = 2341731609
BaseRepresentation
bin1010110000000…
…1001111001010
310010212000010000
42230001033022
543021000314
64250303430
71055201622
oct254011712
9103760100
1045093834
11234aa735
1213127b76
13945b256
145dbb882
153e5b209
hex2b013ca

45093834 has 40 divisors (see below), whose sum is σ = 101690820. Its totient is φ = 14935104.

The previous prime is 45093833. The next prime is 45093847. The reversal of 45093834 is 43839054.

It can be written as a sum of positive squares in 2 ways, for example, as 32455809 + 12638025 = 5697^2 + 3555^2 .

It is not an unprimeable number, because it can be changed into a prime (45093833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27222 + ... + 28830.

Almost surely, 245093834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45093834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50845410).

45093834 is an abundant number, since it is smaller than the sum of its proper divisors (56596986).

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

45093834 is a wasteful number, since it uses less digits than its factorization.

45093834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 45093834 is about 6715.1942637574. The cubic root of 45093834 is about 355.9363866053.

The spelling of 45093834 in words is "forty-five million, ninety-three thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 173 346 519 1038 1557 1609 3114 3218 4671 4827 9342 9654 14013 14481 28026 28962 43443 86886 130329 260658 278357 556714 835071 1670142 2505213 5010426 7515639 15031278 22546917 45093834