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539870880 = 25352514481
BaseRepresentation
bin100000001011011…
…100011010100000
31101121212021121210
4200023130122200
52101201332010
6125323150120
716243553403
oct4013343240
91347767553
10539870880
11257819a8a
12130975340
1387b04c33
14519b3d3a
15325e1b20
hex202dc6a0

539870880 has 96 divisors (see below), whose sum is σ = 1707749568. Its totient is φ = 143360000.

The previous prime is 539870867. The next prime is 539870899. The reversal of 539870880 is 88078935.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118240 + ... + 122720.

It is an arithmetic number, because the mean of its divisors is an integer number (17789058).

Almost surely, 2539870880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 539870880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853874784).

539870880 is an abundant number, since it is smaller than the sum of its proper divisors (1167878688).

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

539870880 is a wasteful number, since it uses less digits than its factorization.

539870880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4750 (or 4742 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 539870880 is about 23235.1216910951. The cubic root of 539870880 is about 814.2603750634.

The spelling of 539870880 in words is "five hundred thirty-nine million, eight hundred seventy thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 251 480 502 753 1004 1255 1506 2008 2510 3012 3765 4016 4481 5020 6024 7530 8032 8962 10040 12048 13443 15060 17924 20080 22405 24096 26886 30120 35848 40160 44810 53772 60240 67215 71696 89620 107544 120480 134430 143392 179240 215088 268860 358480 430176 537720 716960 1075440 1124731 2150880 2249462 3374193 4498924 5623655 6748386 8997848 11247310 13496772 16870965 17995696 22494620 26993544 33741930 35991392 44989240 53987088 67483860 89978480 107974176 134967720 179956960 269935440 539870880