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532280000 = 265471901
BaseRepresentation
bin11111101110011…
…111001011000000
31101002120121220002
4133232133023000
52042230430000
6124452335132
716122206510
oct3756371300
91332517802
10532280000
1125350492a
1212a3144a8
1386377aa5
1450999840
1531ae28d5
hex1fb9f2c0

532280000 has 140 divisors (see below), whose sum is σ = 1509229392. Its totient is φ = 182400000.

The previous prime is 532279997. The next prime is 532280009. The reversal of 532280000 is 82235.

It is a tau number, because it is divible by the number of its divisors (140).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (532280009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 279050 + ... + 280950.

Almost surely, 2532280000 is an apocalyptic number.

532280000 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 532280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754614696).

532280000 is an abundant number, since it is smaller than the sum of its proper divisors (976949392).

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

532280000 is an equidigital number, since it uses as much as digits as its factorization.

532280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 532280000 is about 23071.1941606844. The cubic root of 532280000 is about 810.4260320427.

The spelling of 532280000 in words is "five hundred thirty-two million, two hundred eighty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 625 700 800 875 1000 1120 1250 1400 1600 1750 1901 2000 2240 2500 2800 3500 3802 4000 4375 5000 5600 7000 7604 8000 8750 9505 10000 11200 13307 14000 15208 17500 19010 20000 26614 28000 30416 35000 38020 40000 47525 53228 56000 60832 66535 70000 76040 95050 106456 121664 133070 140000 152080 190100 212912 237625 266140 280000 304160 332675 380200 425824 475250 532280 608320 665350 760400 851648 950500 1064560 1188125 1330700 1520800 1663375 1901000 2129120 2376250 2661400 3041600 3326750 3802000 4258240 4752500 5322800 6653500 7604000 8316875 9505000 10645600 13307000 15208000 16633750 19010000 21291200 26614000 33267500 38020000 53228000 66535000 76040000 106456000 133070000 266140000 532280000