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258431 = 1132287
BaseRepresentation
bin111111000101111111
3111010111112
4333011333
531232211
65312235
72124305
oct770577
9433445
10258431
11167188
1210567b
1390824
146a275
155188b
hex3f17f

258431 has 4 divisors (see below), whose sum is σ = 260832. Its totient is φ = 256032.

The previous prime is 258421. The next prime is 258437. The reversal of 258431 is 134852.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 258431 - 210 = 257407 is a prime.

It is a super-4 number, since 4×2584314 (a number of 23 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

It is a d-powerful number, because it can be written as 217 + 57 + 47 + 85 + 34 + 1 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 258397 and 258406.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258431.

It is not an unprimeable number, because it can be changed into a prime (258437) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1031 + ... + 1256.

It is an arithmetic number, because the mean of its divisors is an integer number (65208).

2258431 is an apocalyptic number.

258431 is a deficient number, since it is larger than the sum of its proper divisors (2401).

258431 is a wasteful number, since it uses less digits than its factorization.

258431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400.

The product of its digits is 960, while the sum is 23.

The square root of 258431 is about 508.3610921383. The cubic root of 258431 is about 63.6963973361.

The spelling of 258431 in words is "two hundred fifty-eight thousand, four hundred thirty-one".

Divisors: 1 113 2287 258431