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45440 = 27571
BaseRepresentation
bin1011000110000000
32022022222
423012000
52423230
6550212
7246323
oct130600
968288
1045440
113115a
1222368
13178b5
14127ba
15d6e5
hexb180

45440 has 32 divisors (see below), whose sum is σ = 110160. Its totient is φ = 17920.

The previous prime is 45439. The next prime is 45481. The reversal of 45440 is 4454.

It is a tau number, because it is divible by the number of its divisors (32).

It is a plaindrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 605 + ... + 675.

245440 is an apocalyptic number.

45440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55080).

45440 is an abundant number, since it is smaller than the sum of its proper divisors (64720).

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

45440 is an equidigital number, since it uses as much as digits as its factorization.

45440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 45440 is about 213.1666015116. The cubic root of 45440 is about 35.6844856178.

Adding to 45440 its reverse (4454), we get a palindrome (49894).

It can be divided in two parts, 454 and 40, that added together give a palindrome (494).

The spelling of 45440 in words is "forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 128 142 160 284 320 355 568 640 710 1136 1420 2272 2840 4544 5680 9088 11360 22720 45440