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45505500 = 22353231319
BaseRepresentation
bin1010110110010…
…1101111011100
310011121220210220
42231211233130
543122134000
64303201340
71061535045
oct255455734
9104556726
1045505500
1123760a57
12132a6250
139573741
1460878cc
153edd1a0
hex2b65bdc

45505500 has 96 divisors (see below), whose sum is σ = 138378240. Its totient is φ = 11598400.

The previous prime is 45505459. The next prime is 45505561. The reversal of 45505500 is 550554.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33841 + ... + 35159.

It is an arithmetic number, because the mean of its divisors is an integer number (1441440).

Almost surely, 245505500 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 45505500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69189120).

45505500 is an abundant number, since it is smaller than the sum of its proper divisors (92872740).

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

45505500 is a wasteful number, since it uses less digits than its factorization.

45505500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 24.

The square root of 45505500 is about 6745.7764564207. The cubic root of 45505500 is about 357.0162332064.

The spelling of 45505500 in words is "forty-five million, five hundred five thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 125 138 150 230 250 276 300 345 375 460 500 575 690 750 1150 1319 1380 1500 1725 2300 2638 2875 3450 3957 5276 5750 6595 6900 7914 8625 11500 13190 15828 17250 19785 26380 30337 32975 34500 39570 60674 65950 79140 91011 98925 121348 131900 151685 164875 182022 197850 303370 329750 364044 395700 455055 494625 606740 659500 758425 910110 989250 1516850 1820220 1978500 2275275 3033700 3792125 4550550 7584250 9101100 11376375 15168500 22752750 45505500