Search a number
-
+
48418968 = 23313311499
BaseRepresentation
bin1011100010110…
…1000010011000
310101002221100010
42320231002120
544343401333
64445441520
71125361113
oct270550230
9111087303
1048418968
1125370984
12142702a0
13a0538a0
14660557a
1543b6563
hex2e2d098

48418968 has 64 divisors (see below), whose sum is σ = 131040000. Its totient is φ = 14820480.

The previous prime is 48418943. The next prime is 48418969. The reversal of 48418968 is 86981484.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48418969) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 96783 + ... + 97281.

It is an arithmetic number, because the mean of its divisors is an integer number (2047500).

Almost surely, 248418968 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 48418968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65520000).

48418968 is an abundant number, since it is smaller than the sum of its proper divisors (82621032).

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

48418968 is a wasteful number, since it uses less digits than its factorization.

48418968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 828 counting only the distinct ones).

The product of its digits is 442368, while the sum is 48.

The square root of 48418968 is about 6958.3739479853. The cubic root of 48418968 is about 364.4784394171.

The spelling of 48418968 in words is "forty-eight million, four hundred eighteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 311 312 499 622 933 998 1244 1497 1866 1996 2488 2994 3732 3992 4043 5988 6487 7464 8086 11976 12129 12974 16172 19461 24258 25948 32344 38922 48516 51896 77844 97032 155189 155688 310378 465567 620756 931134 1241512 1862268 2017457 3724536 4034914 6052371 8069828 12104742 16139656 24209484 48418968