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258904401 = 3712328781
BaseRepresentation
bin11110110111010…
…01000101010001
3200001011201001220
433123221011101
51012234420101
641405115253
76262436220
oct1733510521
9601151056
10258904401
11123165788
1272858b29
134183c692
1426556cb7
1517ae2636
hexf6e9151

258904401 has 8 divisors (see below), whose sum is σ = 394521024. Its totient is φ = 147945360.

The previous prime is 258904363. The next prime is 258904403. The reversal of 258904401 is 104409852.

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

It is not a de Polignac number, because 258904401 - 27 = 258904273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (258904403) 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, 6164370 + ... + 6164411.

It is an arithmetic number, because the mean of its divisors is an integer number (49315128).

Almost surely, 2258904401 is an apocalyptic number.

258904401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

258904401 is a deficient number, since it is larger than the sum of its proper divisors (135616623).

258904401 is a wasteful number, since it uses less digits than its factorization.

258904401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12328791.

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 258904401 is about 16090.5065488940. The cubic root of 258904401 is about 637.3526721447.

The spelling of 258904401 in words is "two hundred fifty-eight million, nine hundred four thousand, four hundred one".

Divisors: 1 3 7 21 12328781 36986343 86301467 258904401