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5284880000 = 2754312131
BaseRepresentation
bin1001110110000000…
…01101111010000000
3111122022102201110022
410323000031322000
541310412130000
62232225153012
7244651511261
oct47300157200
914568381408
105284880000
1122721a4624
121035a8b768
13662b9453a
14381c5a968
1520de7a585
hex13b00de80

5284880000 has 160 divisors (see below), whose sum is σ = 13587150720. Its totient is φ = 2044800000.

The previous prime is 5284879991. The next prime is 5284880011. The reversal of 5284880000 is 884825.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×52848800002 = 55859913228800000000, which contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 2478935 + ... + 2481065.

It is an arithmetic number, because the mean of its divisors is an integer number (84919692).

Almost surely, 25284880000 is an apocalyptic number.

5284880000 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 5284880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6793575360).

5284880000 is an abundant number, since it is smaller than the sum of its proper divisors (8302270720).

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

5284880000 is an equidigital number, since it uses as much as digits as its factorization.

5284880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

The square root of 5284880000 is about 72697.1801378843. The cubic root of 5284880000 is about 1741.8538395588.

The spelling of 5284880000 in words is "five billion, two hundred eighty-four million, eight hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 125 128 155 160 200 248 250 310 320 400 496 500 620 625 640 775 800 992 1000 1240 1250 1550 1600 1984 2000 2131 2480 2500 3100 3200 3875 3968 4000 4262 4960 5000 6200 7750 8000 8524 9920 10000 10655 12400 15500 16000 17048 19375 19840 20000 21310 24800 31000 34096 38750 40000 42620 49600 53275 62000 66061 68192 77500 80000 85240 99200 106550 124000 132122 136384 155000 170480 213100 248000 264244 266375 272768 310000 330305 340960 426200 496000 528488 532750 620000 660610 681920 852400 1056976 1065500 1240000 1321220 1331875 1363840 1651525 1704800 2113952 2131000 2480000 2642440 2663750 3303050 3409600 4227904 4262000 5284880 5327500 6606100 6819200 8257625 8455808 8524000 10569760 10655000 13212200 16515250 17048000 21139520 21310000 26424400 33030500 34096000 41288125 42279040 42620000 52848800 66061000 82576250 85240000 105697600 132122000 165152500 170480000 211395200 264244000 330305000 528488000 660610000 1056976000 1321220000 2642440000 5284880000