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45798240 = 253595413
BaseRepresentation
bin1010111010110…
…1001101100000
310012011210101010
42232231031200
543211020430
64313340520
71064164365
oct256551540
9105153333
1045798240
1123940994
1213407740
139646a67
14612246c
154049cb0
hex2bad360

45798240 has 48 divisors (see below), whose sum is σ = 144265968. Its totient is φ = 12212736.

The previous prime is 45798209. The next prime is 45798281. The reversal of 45798240 is 4289754.

45798240 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 (48).

It is a congruent number.

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, 47227 + ... + 48186.

It is an arithmetic number, because the mean of its divisors is an integer number (3005541).

Almost surely, 245798240 is an apocalyptic number.

45798240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45798240 is an abundant number, since it is smaller than the sum of its proper divisors (98467728).

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

45798240 is a wasteful number, since it uses less digits than its factorization.

45798240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95431 (or 95423 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 45798240 is about 6767.4396931188. The cubic root of 45798240 is about 357.7801673587.

The spelling of 45798240 in words is "forty-five million, seven hundred ninety-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 95413 190826 286239 381652 477065 572478 763304 954130 1144956 1431195 1526608 1908260 2289912 2862390 3053216 3816520 4579824 5724780 7633040 9159648 11449560 15266080 22899120 45798240