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5258875800 = 2335228330971
BaseRepresentation
bin1001110010111010…
…00001001110011000
3111120111111120101210
410321131001032120
541232233011200
62225455543120
7244214464263
oct47135011630
914514446353
105258875800
112259553252
12102922aaa0
1365a68b239
1437c60bcda
1520ba40650
hex139741398

5258875800 has 96 divisors (see below), whose sum is σ = 16360649280. Its totient is φ = 1397366400.

The previous prime is 5258875789. The next prime is 5258875801. The reversal of 5258875800 is 85788525.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5258875800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5258875801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154315 + ... + 185285.

It is an arithmetic number, because the mean of its divisors is an integer number (170423430).

Almost surely, 25258875800 is an apocalyptic number.

5258875800 is a gapful number since it is divisible by the number (50) 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 5258875800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8180324640).

5258875800 is an abundant number, since it is smaller than the sum of its proper divisors (11101773480).

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

5258875800 is a wasteful number, since it uses less digits than its factorization.

5258875800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31273 (or 31264 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 48.

The square root of 5258875800 is about 72518.1067044638. The cubic root of 5258875800 is about 1738.9922159953.

The spelling of 5258875800 in words is "five billion, two hundred fifty-eight million, eight hundred seventy-five thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 283 300 566 600 849 1132 1415 1698 2264 2830 3396 4245 5660 6792 7075 8490 11320 14150 16980 21225 28300 30971 33960 42450 56600 61942 84900 92913 123884 154855 169800 185826 247768 309710 371652 464565 619420 743304 774275 929130 1238840 1548550 1858260 2322825 3097100 3716520 4645650 6194200 8764793 9291300 17529586 18582600 26294379 35059172 43823965 52588758 70118344 87647930 105177516 131471895 175295860 210355032 219119825 262943790 350591720 438239650 525887580 657359475 876479300 1051775160 1314718950 1752958600 2629437900 5258875800