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450541242 = 232176124137
BaseRepresentation
bin11010110110101…
…011011010111010
31011101202212101200
4122312223122322
51410314304432
6112412355030
714110352214
oct3266533272
91141685350
10450541242
11211356338
12106a75a76
1372459168
1443b9d5b4
1529848a7c
hex1adab6ba

450541242 has 48 divisors (see below), whose sum is σ = 1050582312. Its totient is φ = 139023360.

The previous prime is 450541237. The next prime is 450541249. The reversal of 450541242 is 242145054.

It can be written as a sum of positive squares in 4 ways, for example, as 368294481 + 82246761 = 19191^2 + 9069^2 .

It is not an unprimeable number, because it can be changed into a prime (450541249) 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, 6598 + ... + 30734.

Almost surely, 2450541242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450541242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525291156).

450541242 is an abundant number, since it is smaller than the sum of its proper divisors (600041070).

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

450541242 is a wasteful number, since it uses less digits than its factorization.

450541242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24223 (or 24220 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 450541242 is about 21225.9567982223. The cubic root of 450541242 is about 766.6165380793.

Adding to 450541242 its reverse (242145054), we get a palindrome (692686296).

The spelling of 450541242 in words is "four hundred fifty million, five hundred forty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 61 102 122 153 183 306 366 549 1037 1098 2074 3111 6222 9333 18666 24137 48274 72411 144822 217233 410329 434466 820658 1230987 1472357 2461974 2944714 3692961 4417071 7385922 8834142 13251213 25030069 26502426 50060138 75090207 150180414 225270621 450541242