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45030414 = 231113311693
BaseRepresentation
bin1010101111000…
…1110000001110
310010201210010010
42223301300032
543011433124
64245054050
71054516002
oct253616016
9103653103
1045030414
1123467020
12130b7326
139438420
145da2702
153e47529
hex2af1c0e

45030414 has 64 divisors (see below), whose sum is σ = 109283328. Its totient is φ = 12182400.

The previous prime is 45030413. The next prime is 45030421. The reversal of 45030414 is 41403054.

45030414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×450304142 = 4055476370022792, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45030413) 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 31 ways as a sum of consecutive naturals, for example, 25752 + ... + 27444.

It is an arithmetic number, because the mean of its divisors is an integer number (1707552).

Almost surely, 245030414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45030414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54641664).

45030414 is an abundant number, since it is smaller than the sum of its proper divisors (64252914).

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

45030414 is a wasteful number, since it uses less digits than its factorization.

45030414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753.

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 45030414 is about 6710.4704753095. The cubic root of 45030414 is about 355.7694452568.

Adding to 45030414 its reverse (41403054), we get a palindrome (86433468).

The spelling of 45030414 in words is "forty-five million, thirty thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 13 22 26 31 33 39 62 66 78 93 143 186 286 341 403 429 682 806 858 1023 1209 1693 2046 2418 3386 4433 5079 8866 10158 13299 18623 22009 26598 37246 44018 52483 55869 66027 104966 111738 132054 157449 242099 314898 484198 577313 682279 726297 1154626 1364558 1452594 1731939 2046837 3463878 4093674 7505069 15010138 22515207 45030414