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45032880 = 2435187637
BaseRepresentation
bin1010101111001…
…0010110110000
310010201220111110
42223302112300
543012023010
64245113320
71054526124
oct253622660
9103656443
1045032880
1123468962
12130b8840
139439599
145da3584
153e48120
hex2af25b0

45032880 has 40 divisors (see below), whose sum is σ = 139602672. Its totient is φ = 12008704.

The previous prime is 45032857. The next prime is 45032887. The reversal of 45032880 is 8823054.

45032880 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 (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (45032887) 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 7 ways as a sum of consecutive naturals, for example, 93579 + ... + 94058.

Almost surely, 245032880 is an apocalyptic number.

45032880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45032880 is an abundant number, since it is smaller than the sum of its proper divisors (94569792).

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

45032880 is a wasteful number, since it uses less digits than its factorization.

45032880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187653 (or 187647 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 45032880 is about 6710.6542154994. The cubic root of 45032880 is about 355.7759394708.

The spelling of 45032880 in words is "forty-five million, thirty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 187637 375274 562911 750548 938185 1125822 1501096 1876370 2251644 2814555 3002192 3752740 4503288 5629110 7505480 9006576 11258220 15010960 22516440 45032880