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5248970800 = 245289283521
BaseRepresentation
bin1001110001101110…
…01111000000110000
3111112210212100021221
410320313033000300
541222214031200
62224503354424
7244034341603
oct47067170060
914483770257
105248970800
1122539a84a7
121025a52a14
136586009a8
1437b19033a
1520ac3591a
hex138dcf030

5248970800 has 120 divisors (see below), whose sum is σ = 12821969520. Its totient is φ = 2064691200.

The previous prime is 5248970791. The next prime is 5248970801. The reversal of 5248970800 is 80798425.

It is not an unprimeable number, because it can be changed into a prime (5248970801) 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, 10074540 + ... + 10075060.

It is an arithmetic number, because the mean of its divisors is an integer number (106849746).

Almost surely, 25248970800 is an apocalyptic number.

5248970800 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 5248970800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6410984760).

5248970800 is an abundant number, since it is smaller than the sum of its proper divisors (7572998720).

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

5248970800 is a wasteful number, since it uses less digits than its factorization.

5248970800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The square root of 5248970800 is about 72449.7812281031. The cubic root of 5248970800 is about 1737.8997427472.

The spelling of 5248970800 in words is "five billion, two hundred forty-eight million, nine hundred seventy thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 89 100 178 200 283 356 400 445 521 566 712 890 1042 1132 1415 1424 1780 2084 2225 2264 2605 2830 3560 4168 4450 4528 5210 5660 7075 7120 8336 8900 10420 11320 13025 14150 17800 20840 22640 25187 26050 28300 35600 41680 46369 50374 52100 56600 92738 100748 104200 113200 125935 147443 185476 201496 208400 231845 251870 294886 370952 402992 463690 503740 589772 629675 737215 741904 927380 1007480 1159225 1179544 1259350 1474430 1854760 2014960 2318450 2359088 2518700 2948860 3686075 3709520 4636900 5037400 5897720 7372150 9273800 10074800 11795440 13122427 14744300 18547600 26244854 29488600 52489708 58977200 65612135 104979416 131224270 209958832 262448540 328060675 524897080 656121350 1049794160 1312242700 2624485400 5248970800