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252417 = 3117649
BaseRepresentation
bin111101101000000001
3110211020210
4331220001
531034132
65224333
72100624
oct755001
9424223
10252417
11162710
121020a9
138ab79
1467dbb
154ebcc
hex3da01

252417 has 8 divisors (see below), whose sum is σ = 367200. Its totient is φ = 152960.

The previous prime is 252409. The next prime is 252419. The reversal of 252417 is 714252.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 252417 - 23 = 252409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 252393 and 252402.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 252417.

It is not an unprimeable number, because it can be changed into a prime (252419) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3792 + ... + 3857.

It is an arithmetic number, because the mean of its divisors is an integer number (45900).

It is a Proth number, since it is equal to 493 ⋅ 29 + 1 and 493 < 29.

2252417 is an apocalyptic number.

It is an amenable number.

252417 is a deficient number, since it is larger than the sum of its proper divisors (114783).

252417 is a wasteful number, since it uses less digits than its factorization.

252417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7663.

The product of its digits is 560, while the sum is 21.

The square root of 252417 is about 502.4111861812. The cubic root of 252417 is about 63.1984170142.

Adding to 252417 its reverse (714252), we get a palindrome (966669).

It can be divided in two parts, 25 and 2417, that added together give a palindrome (2442).

The spelling of 252417 in words is "two hundred fifty-two thousand, four hundred seventeen".

Divisors: 1 3 11 33 7649 22947 84139 252417