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537200442 = 232173894513
BaseRepresentation
bin100000000001010…
…000011100111010
31101102211121110200
4200001100130322
52100010403232
6125150023030
716212062022
oct4001203472
91342747420
10537200442
11256265709
1212baa7a76
13873ab5ac
14514baa82
153226577c
hex2005073a

537200442 has 48 divisors (see below), whose sum is σ = 1235842920. Its totient is φ = 168062976.

The previous prime is 537200407. The next prime is 537200473. The reversal of 537200442 is 244002735.

It can be written as a sum of positive squares in 4 ways, for example, as 278923401 + 258277041 = 16701^2 + 16071^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116778 + ... + 121290.

Almost surely, 2537200442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 537200442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617921460).

537200442 is an abundant number, since it is smaller than the sum of its proper divisors (698642478).

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

537200442 is a wasteful number, since it uses less digits than its factorization.

537200442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4927 (or 4924 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 537200442 is about 23177.5849043855. The cubic root of 537200442 is about 812.9155924224.

The spelling of 537200442 in words is "five hundred thirty-seven million, two hundred thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 389 778 1167 2334 3501 4513 6613 7002 9026 13226 13539 19839 27078 39678 40617 59517 76721 81234 119034 153442 230163 460326 690489 1380978 1755557 3511114 5266671 10533342 15800013 29844469 31600026 59688938 89533407 179066814 268600221 537200442