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45550144 = 261947797
BaseRepresentation
bin1010110111000…
…0101001000000
310011201012001101
42231300221000
543130101034
64304144144
71062112153
oct255605100
9104635041
1045550144
1123791552
1213308054
13958ab63
146099c9a
153eeb514
hex2b70a40

45550144 has 56 divisors (see below), whose sum is σ = 97292160. Its totient is φ = 21090816.

The previous prime is 45550093. The next prime is 45550147. The reversal of 45550144 is 44105554.

It is not an unprimeable number, because it can be changed into a prime (45550147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56754 + ... + 57550.

It is an arithmetic number, because the mean of its divisors is an integer number (1737360).

Almost surely, 245550144 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 45550144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48646080).

45550144 is an abundant number, since it is smaller than the sum of its proper divisors (51742016).

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

45550144 is a wasteful number, since it uses less digits than its factorization.

45550144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 28.

The square root of 45550144 is about 6749.0846786805. The cubic root of 45550144 is about 357.1329474736.

Adding to 45550144 its reverse (44105554), we get a palindrome (89655698).

The spelling of 45550144 in words is "forty-five million, five hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 47 64 76 94 152 188 304 376 608 752 797 893 1216 1504 1594 1786 3008 3188 3572 6376 7144 12752 14288 15143 25504 28576 30286 37459 51008 57152 60572 74918 121144 149836 242288 299672 484576 599344 711721 969152 1198688 1423442 2397376 2846884 5693768 11387536 22775072 45550144