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45030000 = 243541979
BaseRepresentation
bin1010101111000…
…1101001110000
310010201202112210
42223301221300
543011430000
64245052120
71054514541
oct253615160
9103652483
1045030000
1123466784
12130b7040
139438192
145da24c8
153e47350
hex2af1a70

45030000 has 200 divisors, whose sum is σ = 154950400. Its totient is φ = 11232000.

The previous prime is 45029993. The next prime is 45030031. The reversal of 45030000 is 3054.

45030000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 569961 + ... + 570039.

It is an arithmetic number, because the mean of its divisors is an integer number (774752).

Almost surely, 245030000 is an apocalyptic number.

45030000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77475200).

45030000 is an abundant number, since it is smaller than the sum of its proper divisors (109920400).

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

45030000 is a wasteful number, since it uses less digits than its factorization.

45030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 45030000 is about 6710.4396279230. The cubic root of 45030000 is about 355.7683549640.

Adding to 45030000 its reverse (3054), we get a palindrome (45033054).

The spelling of 45030000 in words is "forty-five million, thirty thousand".