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48789090 = 23257431801
BaseRepresentation
bin1011101000011…
…1011001100010
310101210202001100
42322013121202
544442222330
64501415230
71131462150
oct272073142
9111722040
1048789090
11255a3a69
121440a516
13a1531ac
1466a03d0
15443b060
hex2e87662

48789090 has 96 divisors (see below), whose sum is σ = 148427136. Its totient is φ = 10886400.

The previous prime is 48789079. The next prime is 48789109. The reversal of 48789090 is 9098784.

48789090 is a `hidden beast` number, since 487 + 89 + 0 + 90 = 666.

48789090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 26190 + ... + 27990.

It is an arithmetic number, because the mean of its divisors is an integer number (1546116).

Almost surely, 248789090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48789090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74213568).

48789090 is an abundant number, since it is smaller than the sum of its proper divisors (99638046).

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

48789090 is a wasteful number, since it uses less digits than its factorization.

48789090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 48789090 is about 6984.9187540014. The cubic root of 48789090 is about 365.4047926694.

The spelling of 48789090 in words is "forty-eight million, seven hundred eighty-nine thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 43 45 63 70 86 90 105 126 129 210 215 258 301 315 387 430 602 630 645 774 903 1290 1505 1801 1806 1935 2709 3010 3602 3870 4515 5403 5418 9005 9030 10806 12607 13545 16209 18010 25214 27015 27090 32418 37821 54030 63035 75642 77443 81045 113463 126070 154886 162090 189105 226926 232329 378210 387215 464658 542101 567315 696987 774430 1084202 1134630 1161645 1393974 1626303 2323290 2710505 3252606 3484935 4878909 5421010 6969870 8131515 9757818 16263030 24394545 48789090