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45855780 = 2235977879
BaseRepresentation
bin1010111011101…
…1010000100100
310012021201022020
42232323100210
543214341110
64314503140
71064524215
oct256732044
9105251266
1045855780
1123980143
1213434ab0
139666cc9
14613940c
15405bd70
hex2bbb424

45855780 has 48 divisors (see below), whose sum is σ = 129736320. Its totient is φ = 12100608.

The previous prime is 45855773. The next prime is 45855781. The reversal of 45855780 is 8755854.

45855780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45855781) 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 15 ways as a sum of consecutive naturals, for example, 1881 + ... + 9759.

It is an arithmetic number, because the mean of its divisors is an integer number (2702840).

Almost surely, 245855780 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 45855780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64868160).

45855780 is an abundant number, since it is smaller than the sum of its proper divisors (83880540).

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

45855780 is a wasteful number, since it uses less digits than its factorization.

45855780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7988 (or 7986 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 42.

The square root of 45855780 is about 6771.6895971390. The cubic root of 45855780 is about 357.9299406199.

The spelling of 45855780 in words is "forty-five million, eight hundred fifty-five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 970 1164 1455 1940 2910 5820 7879 15758 23637 31516 39395 47274 78790 94548 118185 157580 236370 472740 764263 1528526 2292789 3057052 3821315 4585578 7642630 9171156 11463945 15285260 22927890 45855780