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4248383000 = 23537953777
BaseRepresentation
bin1111110100111001…
…0010111000011000
3101222002002012212112
43331032102320120
532200041224000
61541321331452
7210164442161
oct37516227030
911862065775
104248383000
111890113034
129a6936b88
135292190c4
142c432c768
1519ce8a235
hexfd392e18

4248383000 has 64 divisors (see below), whose sum is σ = 10067241600. Its totient is φ = 1677811200.

The previous prime is 4248382987. The next prime is 4248383017. The reversal of 4248383000 is 3838424.

It is a super-2 number, since 2×42483830002 = 36097516229378000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52112 + ... + 105888.

It is an arithmetic number, because the mean of its divisors is an integer number (157300650).

Almost surely, 24248383000 is an apocalyptic number.

4248383000 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 4248383000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5033620800).

4248383000 is an abundant number, since it is smaller than the sum of its proper divisors (5818858600).

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

4248383000 is a wasteful number, since it uses less digits than its factorization.

4248383000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53877 (or 53863 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 4248383000 is about 65179.6210483001. The cubic root of 4248383000 is about 1619.6004450787.

The spelling of 4248383000 in words is "four billion, two hundred forty-eight million, three hundred eighty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 125 158 200 250 316 395 500 632 790 1000 1580 1975 3160 3950 7900 9875 15800 19750 39500 53777 79000 107554 215108 268885 430216 537770 1075540 1344425 2151080 2688850 4248383 5377700 6722125 8496766 10755400 13444250 16993532 21241915 26888500 33987064 42483830 53777000 84967660 106209575 169935320 212419150 424838300 531047875 849676600 1062095750 2124191500 4248383000