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403993242 = 23253735801
BaseRepresentation
bin11000000101000…
…111001010011010
31001011011222112200
4120011013022122
51311410240432
6104030551030
713003612602
oct3005071232
91034158480
10403993242
11198053114
12b3368476
136590c073
143b923c02
1525701a7c
hex1814729a

403993242 has 48 divisors (see below), whose sum is σ = 904206888. Its totient is φ = 130291200.

The previous prime is 403993231. The next prime is 403993243. The reversal of 403993242 is 242399304.

403993242 is a `hidden beast` number, since 403 + 9 + 9 + 3 + 242 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 401240961 + 2752281 = 20031^2 + 1659^2 .

It is a junction number, because it is equal to n+sod(n) for n = 403993197 and 403993206.

It is not an unprimeable number, because it can be changed into a prime (403993243) 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, 66742 + ... + 72542.

Almost surely, 2403993242 is an apocalyptic number.

403993242 is an abundant number, since it is smaller than the sum of its proper divisors (500213646).

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

403993242 is a wasteful number, since it uses less digits than its factorization.

403993242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5935 (or 5932 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 403993242 is about 20099.5831300055. The cubic root of 403993242 is about 739.2500571354.

The spelling of 403993242 in words is "four hundred three million, nine hundred ninety-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 53 73 106 146 159 219 318 438 477 657 954 1314 3869 5801 7738 11602 11607 17403 23214 34806 34821 52209 69642 104418 307453 423473 614906 846946 922359 1270419 1844718 2540838 2767077 3811257 5534154 7622514 22444069 44888138 67332207 134664414 201996621 403993242