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45859980 = 22356771129
BaseRepresentation
bin1010111011110…
…0010010001100
310012021221001210
42232330102030
543220004410
64314534420
71064542365
oct256742214
9105257053
1045859980
1123983311
1213437410
139668baa
14613ab6c
15405d220
hex2bbc48c

45859980 has 48 divisors (see below), whose sum is σ = 128711520. Its totient is φ = 12200448.

The previous prime is 45859963. The next prime is 45859981. The reversal of 45859980 is 8995854.

It is a happy number.

45859980 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 (45859981) 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, 40056 + ... + 41184.

It is an arithmetic number, because the mean of its divisors is an integer number (2681490).

Almost surely, 245859980 is an apocalyptic number.

It is an amenable number.

45859980 is an abundant number, since it is smaller than the sum of its proper divisors (82851540).

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

45859980 is a wasteful number, since it uses less digits than its factorization.

45859980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The square root of 45859980 is about 6771.9997046663. Note that the first 3 decimals coincide. The cubic root of 45859980 is about 357.9408680671.

The spelling of 45859980 in words is "forty-five million, eight hundred fifty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 677 1129 1354 2031 2258 2708 3385 3387 4062 4516 5645 6770 6774 8124 10155 11290 13540 13548 16935 20310 22580 33870 40620 67740 764333 1528666 2292999 3057332 3821665 4585998 7643330 9171996 11464995 15286660 22929990 45859980