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258257048 = 237394117
BaseRepresentation
bin11110110010010…
…11000010011000
3122222221211001212
433121023002120
51012103211143
641343202252
76254102000
oct1731130230
9588854055
10258257048
11122863385
12725a6388
1341673b2a
1426429000
1517a15918
hexf64b098

258257048 has 32 divisors (see below), whose sum is σ = 564708000. Its totient is φ = 110680416.

The previous prime is 258257029. The next prime is 258257089. The reversal of 258257048 is 840752852.

It is a junction number, because it is equal to n+sod(n) for n = 258256996 and 258257014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44315 + ... + 49802.

It is an arithmetic number, because the mean of its divisors is an integer number (17647125).

Almost surely, 2258257048 is an apocalyptic number.

258257048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

258257048 is an abundant number, since it is smaller than the sum of its proper divisors (306450952).

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

258257048 is an equidigital number, since it uses as much as digits as its factorization.

258257048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94144 (or 94126 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 41.

The square root of 258257048 is about 16070.3779669303. The cubic root of 258257048 is about 636.8210260791.

The spelling of 258257048 in words is "two hundred fifty-eight million, two hundred fifty-seven thousand, forty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 686 1372 2744 94117 188234 376468 658819 752936 1317638 2635276 4611733 5270552 9223466 18446932 32282131 36893864 64564262 129128524 258257048