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534272000 = 211532087
BaseRepresentation
bin11111110110000…
…101100000000000
31101020022211101212
4133312011200000
52043233201000
6125003145252
716145144213
oct3766054000
91336284355
10534272000
11254645509
1212ab15228
13868c46a2
1450d5777a
1531d87c35
hex1fd85800

534272000 has 96 divisors (see below), whose sum is σ = 1333856160. Its totient is φ = 213606400.

The previous prime is 534271987. The next prime is 534272009. The reversal of 534272000 is 272435.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534272009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254957 + ... + 257043.

It is an arithmetic number, because the mean of its divisors is an integer number (13894335).

Almost surely, 2534272000 is an apocalyptic number.

534272000 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 534272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666928080).

534272000 is an abundant number, since it is smaller than the sum of its proper divisors (799584160).

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

534272000 is an equidigital number, since it uses as much as digits as its factorization.

534272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 534272000 is about 23114.3245629199. The cubic root of 534272000 is about 811.4357505906.

The spelling of 534272000 in words is "five hundred thirty-four million, two hundred seventy-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 800 1000 1024 1280 1600 2000 2048 2087 2560 3200 4000 4174 5120 6400 8000 8348 10240 10435 12800 16000 16696 20870 25600 32000 33392 41740 51200 52175 64000 66784 83480 104350 128000 133568 166960 208700 256000 260875 267136 333920 417400 521750 534272 667840 834800 1043500 1068544 1335680 1669600 2087000 2137088 2671360 3339200 4174000 4274176 5342720 6678400 8348000 10685440 13356800 16696000 21370880 26713600 33392000 53427200 66784000 106854400 133568000 267136000 534272000