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45038016 = 263278191
BaseRepresentation
bin1010101111001…
…1100111000000
310010202011112200
42223303213000
543012204031
64245153200
71054550112
oct253634700
9103664480
1045038016
1123471801
12130bb800
13943ba1a
145da53b2
153e498e6
hex2af39c0

45038016 has 42 divisors (see below), whose sum is σ = 129094992. Its totient is φ = 15012480.

The previous prime is 45037997. The next prime is 45038017. The reversal of 45038016 is 61083054.

45038016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45038017) 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 5 ways as a sum of consecutive naturals, for example, 38520 + ... + 39671.

Almost surely, 245038016 is an apocalyptic number.

It is an amenable number.

45038016 is an abundant number, since it is smaller than the sum of its proper divisors (84056976).

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

45038016 is a wasteful number, since it uses less digits than its factorization.

45038016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78209 (or 78196 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 45038016 is about 6711.0368796483. The cubic root of 45038016 is about 355.7894643720.

The spelling of 45038016 in words is "forty-five million, thirty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 78191 156382 234573 312764 469146 625528 703719 938292 1251056 1407438 1876584 2502112 2814876 3753168 5004224 5629752 7506336 11259504 15012672 22519008 45038016