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4989087200 = 255259105701
BaseRepresentation
bin1001010010101111…
…10110110111100000
3110212200211220000102
410221113312313200
540204201242300
62143021241532
7234430353506
oct45127666740
913780756012
104989087200
112130234069
12b72a032a8
1361680a706
14354860676
151e2eed0d5
hex1295f6de0

4989087200 has 72 divisors (see below), whose sum is σ = 12386160360. Its totient is φ = 1961792000.

The previous prime is 4989087199. The next prime is 4989087209. The reversal of 4989087200 is 27809894.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4989087209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5651 + ... + 100050.

It is an arithmetic number, because the mean of its divisors is an integer number (172030005).

Almost surely, 24989087200 is an apocalyptic number.

4989087200 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 4989087200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6193080180).

4989087200 is an abundant number, since it is smaller than the sum of its proper divisors (7397073160).

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

4989087200 is a wasteful number, since it uses less digits than its factorization.

4989087200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105780 (or 105767 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 47.

The square root of 4989087200 is about 70633.4708194352. The cubic root of 4989087200 is about 1708.7309988117.

The spelling of 4989087200 in words is "four billion, nine hundred eighty-nine million, eighty-seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 80 100 118 160 200 236 295 400 472 590 800 944 1180 1475 1888 2360 2950 4720 5900 9440 11800 23600 47200 105701 211402 422804 528505 845608 1057010 1691216 2114020 2642525 3382432 4228040 5285050 6236359 8456080 10570100 12472718 16912160 21140200 24945436 31181795 42280400 49890872 62363590 84560800 99781744 124727180 155908975 199563488 249454360 311817950 498908720 623635900 997817440 1247271800 2494543600 4989087200