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45210240 = 2732547167
BaseRepresentation
bin1010110001110…
…1101010000000
310011001220210100
42230131222000
543033211430
64253002400
71056165165
oct254355200
9104056710
1045210240
112357a139
1213183400
13949c22a
14600c06c
153e80960
hex2b1da80

45210240 has 192 divisors, whose sum is σ = 160392960. Its totient is φ = 11728896.

The previous prime is 45210239. The next prime is 45210241. The reversal of 45210240 is 4201254.

It is an interprime number because it is at equal distance from previous prime (45210239) and next prime (45210241).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (45210241) 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 23 ways as a sum of consecutive naturals, for example, 270637 + ... + 270803.

It is an arithmetic number, because the mean of its divisors is an integer number (835380).

Almost surely, 245210240 is an apocalyptic number.

45210240 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 45210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80196480).

45210240 is an abundant number, since it is smaller than the sum of its proper divisors (115182720).

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

45210240 is a wasteful number, since it uses less digits than its factorization.

45210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 45210240 is about 6723.8560365314. The cubic root of 45210240 is about 356.2423968830.

Adding to 45210240 its reverse (4201254), we get a palindrome (49411494).

The spelling of 45210240 in words is "forty-five million, two hundred ten thousand, two hundred forty".