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242752401 = 32171586617
BaseRepresentation
bin11100111100000…
…01101110010001
3121220210002200200
432132001232101
5444121034101
640031005413
76005234643
oct1636015621
9556702620
10242752401
11115033521
1269369869
133b3a5898
1424350893
15164a1986
hexe781b91

242752401 has 12 divisors (see below), whose sum is σ = 371268612. Its totient is φ = 152315136.

The previous prime is 242752397. The next prime is 242752403. The reversal of 242752401 is 104257242.

242752401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 193766400 + 48986001 = 13920^2 + 6999^2 .

It is not a de Polignac number, because 242752401 - 22 = 242752397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242752403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 793156 + ... + 793461.

It is an arithmetic number, because the mean of its divisors is an integer number (30939051).

Almost surely, 2242752401 is an apocalyptic number.

It is an amenable number.

242752401 is a deficient number, since it is larger than the sum of its proper divisors (128516211).

242752401 is a wasteful number, since it uses less digits than its factorization.

242752401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586640 (or 1586637 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 242752401 is about 15580.5135024491. The cubic root of 242752401 is about 623.8131297558.

The spelling of 242752401 in words is "two hundred forty-two million, seven hundred fifty-two thousand, four hundred one".

Divisors: 1 3 9 17 51 153 1586617 4759851 14279553 26972489 80917467 242752401