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48689800 = 23521371777
BaseRepresentation
bin1011100110111…
…1001010001000
310101121200211221
42321233022020
544431033200
64455331424
71130566525
oct271571210
9111550757
1048689800
1125536405
1214380b74
13a119c43
14667614c
15441b91a
hex2e6f288

48689800 has 48 divisors (see below), whose sum is σ = 114094260. Its totient is φ = 19322880.

The previous prime is 48689789. The next prime is 48689801. The reversal of 48689800 is 898684.

48689800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 19766916 + 28922884 = 4446^2 + 5378^2 .

It is not an unprimeable number, because it can be changed into a prime (48689801) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 26512 + ... + 28288.

Almost surely, 248689800 is an apocalyptic number.

48689800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48689800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57047130).

48689800 is an abundant number, since it is smaller than the sum of its proper divisors (65404460).

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

48689800 is a wasteful number, since it uses less digits than its factorization.

48689800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 48689800 is about 6977.8076786337. The cubic root of 48689800 is about 365.1567475879.

The spelling of 48689800 in words is "forty-eight million, six hundred eighty-nine thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 137 200 274 548 685 1096 1370 1777 2740 3425 3554 5480 6850 7108 8885 13700 14216 17770 27400 35540 44425 71080 88850 177700 243449 355400 486898 973796 1217245 1947592 2434490 4868980 6086225 9737960 12172450 24344900 48689800