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45534000 = 243537589
BaseRepresentation
bin1010110110110…
…0101100110000
310011200100220110
42231230230300
543124042000
64303541320
71062014121
oct255545460
9104610813
1045534000
1123780406
12132ba840
1395836c5
146094048
153ee6850
hex2b6cb30

45534000 has 80 divisors (see below), whose sum is σ = 146820960. Its totient is φ = 12140800.

The previous prime is 45533981. The next prime is 45534001. The reversal of 45534000 is 43554.

It is a happy number.

45534000 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 (80).

It is not an unprimeable number, because it can be changed into a prime (45534001) 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 15 ways as a sum of consecutive naturals, for example, 2206 + ... + 9794.

It is an arithmetic number, because the mean of its divisors is an integer number (1835262).

Almost surely, 245534000 is an apocalyptic number.

45534000 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 45534000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73410480).

45534000 is an abundant number, since it is smaller than the sum of its proper divisors (101286960).

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

45534000 is a wasteful number, since it uses less digits than its factorization.

45534000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7615 (or 7599 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 45534000 is about 6747.8885586530. Note that the first 3 decimals coincide. The cubic root of 45534000 is about 357.0907504933.

Adding to 45534000 its reverse (43554), we get a palindrome (45577554).

The spelling of 45534000 in words is "forty-five million, five hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 7589 15178 22767 30356 37945 45534 60712 75890 91068 113835 121424 151780 182136 189725 227670 303560 364272 379450 455340 569175 607120 758900 910680 948625 1138350 1517800 1821360 1897250 2276700 2845875 3035600 3794500 4553400 5691750 7589000 9106800 11383500 15178000 22767000 45534000