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258048021 = 37116716673
BaseRepresentation
bin11110110000110…
…00000000010101
3122222120012100010
433120120000111
51012030014041
641334510433
76252241410
oct1730300025
9588505303
10258048021
11122730330
1272505419
13415cc94a
14263b2b77
15179c3a16
hexf618015

258048021 has 32 divisors (see below), whose sum is σ = 435391488. Its totient is φ = 132042240.

The previous prime is 258048013. The next prime is 258048023. The reversal of 258048021 is 120840852.

It is not a de Polignac number, because 258048021 - 23 = 258048013 is a prime.

It is a super-2 number, since 2×2580480212 = 133177562284032882, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 258048021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258048023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7141 + ... + 23813.

It is an arithmetic number, because the mean of its divisors is an integer number (13605984).

Almost surely, 2258048021 is an apocalyptic number.

258048021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

258048021 is a deficient number, since it is larger than the sum of its proper divisors (177343467).

258048021 is a wasteful number, since it uses less digits than its factorization.

258048021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16761.

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 258048021 is about 16063.8731630949. The cubic root of 258048021 is about 636.6491705336.

Adding to 258048021 its reverse (120840852), we get a palindrome (378888873).

The spelling of 258048021 in words is "two hundred fifty-eight million, forty-eight thousand, twenty-one".

Divisors: 1 3 7 11 21 33 67 77 201 231 469 737 1407 2211 5159 15477 16673 50019 116711 183403 350133 550209 1117091 1283821 3351273 3851463 7819637 12288001 23458911 36864003 86016007 258048021