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45104544 = 2532199787
BaseRepresentation
bin1010110000001…
…1110110100000
310010212112210200
42230003312200
543021321134
64250425200
71055245062
oct254036640
9103775720
1045104544
1123507791
1213132200
1394630a4
145dc1732
153e5e499
hex2b03da0

45104544 has 72 divisors (see below), whose sum is σ = 129074400. Its totient is φ = 14940288.

The previous prime is 45104539. The next prime is 45104561. The reversal of 45104544 is 44540154.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56919 + ... + 57705.

It is an arithmetic number, because the mean of its divisors is an integer number (1792700).

Almost surely, 245104544 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 45104544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64537200).

45104544 is an abundant number, since it is smaller than the sum of its proper divisors (83969856).

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

45104544 is a wasteful number, since it uses less digits than its factorization.

45104544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 45104544 is about 6715.9916616982. The cubic root of 45104544 is about 355.9645632361.

Adding to 45104544 its reverse (44540154), we get a palindrome (89644698).

The spelling of 45104544 in words is "forty-five million, one hundred four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 199 288 398 597 787 796 1194 1574 1592 1791 2361 2388 3148 3184 3582 4722 4776 6296 6368 7083 7164 9444 9552 12592 14166 14328 18888 19104 25184 28332 28656 37776 56664 57312 75552 113328 156613 226656 313226 469839 626452 939678 1252904 1409517 1879356 2505808 2819034 3758712 5011616 5638068 7517424 11276136 15034848 22552272 45104544