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48575660 = 225737397
BaseRepresentation
bin1011100101001…
…1010010101100
310101101220021112
42321103102230
544413410120
64453051152
71126613000
oct271232254
9111356245
1048575660
1125468681
1214326ab8
13a0a9cc3
146646700
1543e7bc5
hex2e534ac

48575660 has 96 divisors (see below), whose sum is σ = 121833600. Its totient is φ = 16257024.

The previous prime is 48575651. The next prime is 48575671. The reversal of 48575660 is 6657584.

48575660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500732 + ... + 500828.

It is an arithmetic number, because the mean of its divisors is an integer number (1269100).

Almost surely, 248575660 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 48575660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60916800).

48575660 is an abundant number, since it is smaller than the sum of its proper divisors (73257940).

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

48575660 is a wasteful number, since it uses less digits than its factorization.

48575660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The square root of 48575660 is about 6969.6240931631. The cubic root of 48575660 is about 364.8711874227.

The spelling of 48575660 in words is "forty-eight million, five hundred seventy-five thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 73 97 98 140 146 194 196 245 292 343 365 388 485 490 511 679 686 730 970 980 1022 1358 1372 1460 1715 1940 2044 2555 2716 3395 3430 3577 4753 5110 6790 6860 7081 7154 9506 10220 13580 14162 14308 17885 19012 23765 25039 28324 33271 35405 35770 47530 49567 50078 66542 70810 71540 95060 99134 100156 125195 133084 141620 166355 198268 247835 250390 332710 346969 495670 500780 665420 693938 991340 1387876 1734845 2428783 3469690 4857566 6939380 9715132 12143915 24287830 48575660