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45300144 = 2432933221
BaseRepresentation
bin1010110011001…
…1100110110000
310011020111010010
42230303212300
543044101034
64254534520
71060021251
oct254634660
9104214103
1045300144
112363073a
1213207440
139501126
146032b28
153e9c3e9
hex2b339b0

45300144 has 40 divisors (see below), whose sum is σ = 117461232. Its totient is φ = 15043840.

The previous prime is 45300131. The next prime is 45300169. The reversal of 45300144 is 44100354.

45300144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 45300144.

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 7 ways as a sum of consecutive naturals, for example, 12454 + ... + 15674.

Almost surely, 245300144 is an apocalyptic number.

It is an amenable number.

45300144 is an abundant number, since it is smaller than the sum of its proper divisors (72161088).

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

45300144 is a wasteful number, since it uses less digits than its factorization.

45300144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3525 (or 3519 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 45300144 is about 6730.5381657041. The cubic root of 45300144 is about 356.4783788942.

Adding to 45300144 its reverse (44100354), we get a palindrome (89400498).

The spelling of 45300144 in words is "forty-five million, three hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 293 586 879 1172 1758 2344 3221 3516 4688 6442 7032 9663 12884 14064 19326 25768 38652 51536 77304 154608 943753 1887506 2831259 3775012 5662518 7550024 11325036 15100048 22650072 45300144