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252002106 = 23276118397
BaseRepresentation
bin11110000010100…
…11111100111010
3122120012000220100
433001103330322
51004003031411
641001140230
76146661006
oct1701237472
9576160810
10252002106
1111a280a04
127048a676
1340293a95
142567b706
15171cc456
hexf053f3a

252002106 has 24 divisors (see below), whose sum is σ = 546751764. Its totient is φ = 83885760.

The previous prime is 252002089. The next prime is 252002117. The reversal of 252002106 is 601200252.

It can be written as a sum of positive squares in 2 ways, for example, as 247779081 + 4223025 = 15741^2 + 2055^2 .

It is a super-2 number, since 2×2520021062 = 127010122856870472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

252002106 is a modest number, since divided by 2106 gives 252 as remainder.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4500 + ... + 22896.

Almost surely, 2252002106 is an apocalyptic number.

252002106 is an abundant number, since it is smaller than the sum of its proper divisors (294749658).

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

252002106 is a wasteful number, since it uses less digits than its factorization.

252002106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19166 (or 19163 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 252002106 is about 15874.5741990140. The cubic root of 252002106 is about 631.6377193181.

Adding to 252002106 its reverse (601200252), we get a palindrome (853202358).

The spelling of 252002106 in words is "two hundred fifty-two million, two thousand, one hundred six".

Divisors: 1 2 3 6 9 18 761 1522 2283 4566 6849 13698 18397 36794 55191 110382 165573 331146 14000117 28000234 42000351 84000702 126001053 252002106