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454431042 = 2321312131601
BaseRepresentation
bin11011000101100…
…001000101000010
31011200002111012100
4123011201011002
51412313243132
6113032011230
714155412562
oct3305410502
91150074170
10454431042
1121357284a
12108230b16
13731bb810
14444d2da2
1529d6637c
hex1b161142

454431042 has 48 divisors (see below), whose sum is σ = 1061876088. Its totient is φ = 139622400.

The previous prime is 454431011. The next prime is 454431049. The reversal of 454431042 is 240134454.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 345625281 + 108805761 = 18591^2 + 10431^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 454430997 and 454431015.

It is not an unprimeable number, because it can be changed into a prime (454431049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283042 + ... + 284642.

Almost surely, 2454431042 is an apocalyptic number.

454431042 is an abundant number, since it is smaller than the sum of its proper divisors (607445046).

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

454431042 is a wasteful number, since it uses less digits than its factorization.

454431042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 454431042 is about 21317.3882546620. The cubic root of 454431042 is about 768.8164433549.

Adding to 454431042 its reverse (240134454), we get a palindrome (694565496).

The spelling of 454431042 in words is "four hundred fifty-four million, four hundred thirty-one thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 1213 1601 2426 3202 3639 4803 7278 9606 10917 14409 15769 20813 21834 28818 31538 41626 47307 62439 94614 124878 141921 187317 283842 374634 1942013 3884026 5826039 11652078 17478117 25246169 34956234 50492338 75738507 151477014 227215521 454431042