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253050112 = 287220173
BaseRepresentation
bin11110001010100…
…11110100000000
3122122011021111101
433011103310000
51004240100422
641035424144
76161614300
oct1705236400
9578137441
10253050112
1111a927327
12708b5054
134056cac3
1425871600
1517337c27
hexf153d00

253050112 has 54 divisors (see below), whose sum is σ = 587608098. Its totient is φ = 108444672.

The previous prime is 253050103. The next prime is 253050157. The reversal of 253050112 is 211050352.

It can be written as a sum of positive squares in only one way, i.e., 252937216 + 112896 = 15904^2 + 336^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 253050112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2458 + ... + 22630.

Almost surely, 2253050112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253050112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293804049).

253050112 is an abundant number, since it is smaller than the sum of its proper divisors (334557986).

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

253050112 is an equidigital number, since it uses as much as digits as its factorization.

253050112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20203 (or 20182 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 253050112 is about 15907.5488998148. The cubic root of 253050112 is about 632.5121096277.

The spelling of 253050112 in words is "two hundred fifty-three million, fifty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 6272 12544 20173 40346 80692 141211 161384 282422 322768 564844 645536 988477 1129688 1291072 1976954 2259376 2582144 3953908 4518752 5164288 7907816 9037504 15815632 18075008 31631264 36150016 63262528 126525056 253050112