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248350000 = 24554967
BaseRepresentation
bin11101100110110…
…00010100110000
3122022022111011011
432303120110300
51002034200000
640351000304
76103640323
oct1663302460
9568274134
10248350000
11118207038
126b209094
133c5b5682
1424daa7ba
1516c0a2ba
hexecd8530

248350000 has 60 divisors (see below), whose sum is σ = 601555248. Its totient is φ = 99320000.

The previous prime is 248349989. The next prime is 248350051. The reversal of 248350000 is 53842.

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 11 ways as a sum of consecutive naturals, for example, 47517 + ... + 52483.

Almost surely, 2248350000 is an apocalyptic number.

248350000 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 248350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300777624).

248350000 is an abundant number, since it is smaller than the sum of its proper divisors (353205248).

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

248350000 is an frugal number, since it uses more digits than its factorization.

248350000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5000 (or 4974 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 248350000 is about 15759.1243411555. The cubic root of 248350000 is about 628.5715515545.

The spelling of 248350000 in words is "two hundred forty-eight million, three hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 3125 4967 5000 6250 9934 10000 12500 19868 24835 25000 39736 49670 50000 79472 99340 124175 198680 248350 397360 496700 620875 993400 1241750 1986800 2483500 3104375 4967000 6208750 9934000 12417500 15521875 24835000 31043750 49670000 62087500 124175000 248350000