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45078032 = 2419791877
BaseRepresentation
bin1010101111110…
…1011000010000
310010211012102202
42223331120100
543014444112
64250102332
71055104556
oct253753020
9103735382
1045078032
112349987a
121311a9a8
139453cbc
145db5bd6
153e566c2
hex2afd610

45078032 has 40 divisors (see below), whose sum is σ = 93148800. Its totient is φ = 21071232.

The previous prime is 45078031. The next prime is 45078043. The reversal of 45078032 is 23087054.

It is a happy number.

45078032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45077986 and 45078004.

It is not an unprimeable number, because it can be changed into a prime (45078031) 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, 23078 + ... + 24954.

It is an arithmetic number, because the mean of its divisors is an integer number (2328720).

Almost surely, 245078032 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 45078032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46574400).

45078032 is an abundant number, since it is smaller than the sum of its proper divisors (48070768).

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

45078032 is a wasteful number, since it uses less digits than its factorization.

45078032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 45078032 is about 6714.0175751930. The cubic root of 45078032 is about 355.8948054296.

The spelling of 45078032 in words is "forty-five million, seventy-eight thousand, thirty-two".

Divisors: 1 2 4 8 16 19 38 76 79 152 158 304 316 632 1264 1501 1877 3002 3754 6004 7508 12008 15016 24016 30032 35663 71326 142652 148283 285304 296566 570608 593132 1186264 2372528 2817377 5634754 11269508 22539016 45078032