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258992048 = 2472330347
BaseRepresentation
bin11110110111111…
…10011110110000
3200001100011022002
433123332132300
51012300221143
641411033132
76263252600
oct1733763660
9601304262
10258992048
11123215617
127289b7a8
1341870543
142657ac00
1517b0d5b8
hexf6fe7b0

258992048 has 30 divisors (see below), whose sum is σ = 583724916. Its totient is φ = 110996256.

The previous prime is 258992023. The next prime is 258992077. The reversal of 258992048 is 840299852.

It is a junction number, because it is equal to n+sod(n) for n = 258991993 and 258992011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 164390 + ... + 165957.

Almost surely, 2258992048 is an apocalyptic number.

258992048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

258992048 is an abundant number, since it is smaller than the sum of its proper divisors (324732868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

258992048 is a wasteful number, since it uses less digits than its factorization.

258992048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330369 (or 330356 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 47.

The square root of 258992048 is about 16093.2298809158. The cubic root of 258992048 is about 637.4245851069.

The spelling of 258992048 in words is "two hundred fifty-eight million, nine hundred ninety-two thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 330347 660694 1321388 2312429 2642776 4624858 5285552 9249716 16187003 18499432 32374006 36998864 64748012 129496024 258992048