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248440000 = 26546211
BaseRepresentation
bin11101100111011…
…10010011000000
3122022111001121111
432303232103000
51002100040000
640352533104
76104463604
oct1663562300
9568431544
10248440000
11118268716
126b251194
133c617623
1424dd1504
1516c26cba
hexecee4c0

248440000 has 70 divisors (see below), whose sum is σ = 616149644. Its totient is φ = 99360000.

The previous prime is 248439967. The next prime is 248440001. The reversal of 248440000 is 44842.

248440000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (248440001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 36895 + ... + 43105.

Almost surely, 2248440000 is an apocalyptic number.

248440000 is a gapful number since it is divisible by the number (20) 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 248440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308074822).

248440000 is an abundant number, since it is smaller than the sum of its proper divisors (367709644).

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

248440000 is an frugal number, since it uses more digits than its factorization.

248440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6243 (or 6218 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 248440000 is about 15761.9795711072. The cubic root of 248440000 is about 628.6474721066.

Adding to 248440000 its reverse (44842), we get a palindrome (248484842).

The spelling of 248440000 in words is "two hundred forty-eight million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 6211 8000 10000 12422 20000 24844 31055 40000 49688 62110 99376 124220 155275 198752 248440 310550 397504 496880 621100 776375 993760 1242200 1552750 1987520 2484400 3105500 3881875 4968800 6211000 7763750 9937600 12422000 15527500 24844000 31055000 49688000 62110000 124220000 248440000