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45077060 = 225736571
BaseRepresentation
bin1010101111110…
…1001001000100
310010211011002202
42223331021010
543014431220
64250054032
71055102000
oct253751104
9103734082
1045077060
1123499076
121311a318
139453722
145db5700
153e56275
hex2afd244

45077060 has 48 divisors (see below), whose sum is σ = 110409600. Its totient is φ = 15452640.

The previous prime is 45077057. The next prime is 45077077. The reversal of 45077060 is 6077054.

45077060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 3575 + ... + 10145.

It is an arithmetic number, because the mean of its divisors is an integer number (2300200).

Almost surely, 245077060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45077060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55204800).

45077060 is an abundant number, since it is smaller than the sum of its proper divisors (65332540).

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

45077060 is a wasteful number, since it uses less digits than its factorization.

45077060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6601 (or 6585 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 45077060 is about 6713.9451889333. The cubic root of 45077060 is about 355.8922474043.

The spelling of 45077060 in words is "forty-five million, seventy-seven thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 3430 6571 6860 13142 26284 32855 45997 65710 91994 131420 183988 229985 321979 459970 643958 919940 1287916 1609895 2253853 3219790 4507706 6439580 9015412 11269265 22538530 45077060