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532238000 = 2453725431
BaseRepresentation
bin11111101110010…
…100111010110000
31101002111111021112
4133232110322300
52042223104000
6124451412452
716121643200
oct3756247260
91332444245
10532238000
11253486318
1212a2b4128
1386361938
1450988400
1531ad5235
hex1fb94eb0

532238000 has 120 divisors (see below), whose sum is σ = 1497341664. Its totient is φ = 182448000.

The previous prime is 532237999. The next prime is 532238027. The reversal of 532238000 is 832235.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 95285 + ... + 100715.

Almost surely, 2532238000 is an apocalyptic number.

532238000 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 532238000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748670832).

532238000 is an abundant number, since it is smaller than the sum of its proper divisors (965103664).

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

532238000 is a wasteful number, since it uses less digits than its factorization.

532238000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5468 (or 5445 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 532238000 is about 23070.2839167618. The cubic root of 532238000 is about 810.4047157000.

The spelling of 532238000 in words is "five hundred thirty-two million, two hundred thirty-eight thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 125 140 175 196 200 245 250 280 350 392 400 490 500 560 700 784 875 980 1000 1225 1400 1750 1960 2000 2450 2800 3500 3920 4900 5431 6125 7000 9800 10862 12250 14000 19600 21724 24500 27155 38017 43448 49000 54310 76034 86896 98000 108620 135775 152068 190085 217240 266119 271550 304136 380170 434480 532238 543100 608272 678875 760340 950425 1064476 1086200 1330595 1357750 1520680 1900850 2128952 2172400 2661190 2715500 3041360 3801700 4257904 4752125 5322380 5431000 6652975 7603400 9504250 10644760 10862000 13305950 15206800 19008500 21289520 26611900 33264875 38017000 53223800 66529750 76034000 106447600 133059500 266119000 532238000