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4888800800 = 255213470077
BaseRepresentation
bin1001000110110010…
…10010111000100000
3110121201010210221022
410203121102320200
540003013111200
62125035545012
7232102056362
oct44331227040
913551123838
104888800800
112089667444
12b452bb168
135cbac6750
143453d6d32
151d92dd885
hex123652e20

4888800800 has 72 divisors (see below), whose sum is σ = 12852872676. Its totient is φ = 1805091840.

The previous prime is 4888800799. The next prime is 4888800827. The reversal of 4888800800 is 80088884.

It can be written as a sum of positive squares in 6 ways, for example, as 926350096 + 3962450704 = 30436^2 + 62948^2 .

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, 224639 + ... + 245438.

Almost surely, 24888800800 is an apocalyptic number.

4888800800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4888800800 is an abundant number, since it is smaller than the sum of its proper divisors (7964071876).

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

4888800800 is a wasteful number, since it uses less digits than its factorization.

4888800800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470110 (or 470097 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 44.

The square root of 4888800800 is about 69919.9599542219. The cubic root of 4888800800 is about 1697.2042629191.

The spelling of 4888800800 in words is "four billion, eight hundred eighty-eight million, eight hundred thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 160 200 208 260 325 400 416 520 650 800 1040 1300 2080 2600 5200 10400 470077 940154 1880308 2350385 3760616 4700770 6111001 7521232 9401540 11751925 12222002 15042464 18803080 23503850 24444004 30555005 37606160 47007700 48888008 61110010 75212320 94015400 97776016 122220020 152775025 188030800 195552032 244440040 305550050 376061600 488880080 611100100 977760160 1222200200 2444400400 4888800800