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45860 = 2252293
BaseRepresentation
bin1011001100100100
32022220112
423030210
52431420
6552152
7250463
oct131444
968815
1045860
1131501
1222658
1317b49
14129da
15d8c5
hexb324

45860 has 12 divisors (see below), whose sum is σ = 96348. Its totient is φ = 18336.

The previous prime is 45853. The next prime is 45863. The reversal of 45860 is 6854.

It can be written as a sum of positive squares in 2 ways, for example, as 14884 + 30976 = 122^2 + 176^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45860.

It is not an unprimeable number, because it can be changed into a prime (45863) by changing a digit.

45860 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1127 + ... + 1166.

It is an arithmetic number, because the mean of its divisors is an integer number (8029).

245860 is an apocalyptic number.

It is an amenable number.

45860 is an abundant number, since it is smaller than the sum of its proper divisors (50488).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48174).

45860 is a wasteful number, since it uses less digits than its factorization.

45860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 45860 is about 214.1494805037. The cubic root of 45860 is about 35.7940920101.

The spelling of 45860 in words is "forty-five thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 2293 4586 9172 11465 22930 45860