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244534752 = 253271111027
BaseRepresentation
bin11101001001101…
…00110111100000
3122001010122121200
432210310313200
51000100103002
640133121200
76026340210
oct1644646740
9561118550
10244534752
11116040640
1269a89200
133b87ac27
1424696240
1516704b1c
hexe934de0

244534752 has 144 divisors (see below), whose sum is σ = 867065472. Its totient is φ = 63509760.

The previous prime is 244534711. The next prime is 244534753. The reversal of 244534752 is 257435442.

244534752 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244534753) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16663 + ... + 27689.

It is an arithmetic number, because the mean of its divisors is an integer number (6021288).

Almost surely, 2244534752 is an apocalyptic number.

244534752 is a gapful number since it is divisible by the number (22) 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 244534752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433532736).

244534752 is an abundant number, since it is smaller than the sum of its proper divisors (622530720).

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

244534752 is a wasteful number, since it uses less digits than its factorization.

244534752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11061 (or 11050 counting only the distinct ones).

The product of its digits is 134400, while the sum is 36.

The square root of 244534752 is about 15637.6069780513. The cubic root of 244534752 is about 625.3361408891.

The spelling of 244534752 in words is "two hundred forty-four million, five hundred thirty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 288 308 336 352 396 462 504 528 616 672 693 792 924 1008 1056 1232 1386 1584 1848 2016 2464 2772 3168 3696 5544 7392 11027 11088 22054 22176 33081 44108 66162 77189 88216 99243 121297 132324 154378 176432 198486 231567 242594 264648 308756 352864 363891 396972 463134 485188 529296 617512 694701 727782 793944 849079 926268 970376 1058592 1091673 1235024 1389402 1455564 1587888 1698158 1852536 1940752 2183346 2470048 2547237 2778804 2911128 3175776 3396316 3705072 3881504 4366692 5094474 5557608 5822256 6792632 7410144 7641711 8733384 10188948 11115216 11644512 13585264 15283422 17466768 20377896 22230432 27170528 30566844 34933536 40755792 61133688 81511584 122267376 244534752