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252103417 = 5776612
BaseRepresentation
bin11110000011011…
…00101011111001
3122120101011212121
433001230223321
51004014302132
641003241241
76150562246
oct1701545371
9576334777
10252103417
1111a340035
1270519221
13402cac27
14256a65cd
15171ec497
hexf06caf9

252103417 has 6 divisors (see below), whose sum is σ = 252922974. Its totient is φ = 251285760.

The previous prime is 252103363. The next prime is 252103451. The reversal of 252103417 is 714301252.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 191434896 + 60668521 = 13836^2 + 7789^2 .

It is a de Polignac number, because none of the positive numbers 2k-252103417 is a prime.

It is a super-2 number, since 2×2521034172 = 127112265726151778, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 252103391 and 252103400.

It is not an unprimeable number, because it can be changed into a prime (252103477) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 381067 + ... + 381727.

It is an arithmetic number, because the mean of its divisors is an integer number (42153829).

Almost surely, 2252103417 is an apocalyptic number.

It is an amenable number.

252103417 is a deficient number, since it is larger than the sum of its proper divisors (819557).

252103417 is an frugal number, since it uses more digits than its factorization.

252103417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 252103417 is about 15877.7648615918. The cubic root of 252103417 is about 631.7223525730.

Adding to 252103417 its reverse (714301252), we get a palindrome (966404669).

The spelling of 252103417 in words is "two hundred fifty-two million, one hundred three thousand, four hundred seventeen".

Divisors: 1 577 661 381397 436921 252103417