Search a number
-
+
48585840 = 2435202441
BaseRepresentation
bin1011100101010…
…1110001110000
310101102102020120
42321111301300
544414221330
64453210240
71126654452
oct271256160
9111372216
1048585840
1125475296
1214330980
13a0b1824
14664a2d2
1543eac10
hex2e55c70

48585840 has 40 divisors (see below), whose sum is σ = 150616848. Its totient is φ = 12956160.

The previous prime is 48585833. The next prime is 48585853. The reversal of 48585840 is 4858584.

48585840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 48585792 and 48585801.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 100981 + ... + 101460.

Almost surely, 248585840 is an apocalyptic number.

48585840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48585840 is an abundant number, since it is smaller than the sum of its proper divisors (102031008).

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

48585840 is a wasteful number, since it uses less digits than its factorization.

48585840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202457 (or 202451 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 42.

The square root of 48585840 is about 6970.3543668884. The cubic root of 48585840 is about 364.8966743246.

The spelling of 48585840 in words is "forty-eight million, five hundred eighty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 202441 404882 607323 809764 1012205 1214646 1619528 2024410 2429292 3036615 3239056 4048820 4858584 6073230 8097640 9717168 12146460 16195280 24292920 48585840