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36450000 = 243655
BaseRepresentation
bin1000101100001…
…0111011010000
32112120212000000
42023002323100
533312400000
63341130000
7621551136
oct213027320
975525000
1036450000
1119636474
1210259900
137722a62
144bab756
153300000
hex22c2ed0

36450000 has 210 divisors, whose sum is σ = 132346998. Its totient is φ = 9720000.

The previous prime is 36449993. The next prime is 36450059. The reversal of 36450000 is 5463.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 16842816 + 19607184 = 4104^2 + 4428^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

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 41 ways as a sum of consecutive naturals, for example, 7289998 + ... + 7290002.

Almost surely, 236450000 is an apocalyptic number.

36450000 is a gapful number since it is divisible by the number (30) 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 36450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66173499).

36450000 is an abundant number, since it is smaller than the sum of its proper divisors (95896998).

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

36450000 is an frugal number, since it uses more digits than its factorization.

36450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 36450000 is about 6037.3835392494. The cubic root of 36450000 is about 331.5628348776.

Adding to 36450000 its reverse (5463), we get a palindrome (36455463).

The spelling of 36450000 in words is "thirty-six million, four hundred fifty thousand".