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8258048 = 291272
BaseRepresentation
bin11111100000001000000000
3120112112220122
4133200020000
54103224143
6452555412
7130122641
oct37401000
916475818
108258048
114730437
122922b68
131931a26
14114d6c8
15ad1c68
hex7e0200

8258048 has 30 divisors (see below), whose sum is σ = 16630911. Its totient is φ = 4096512.

The previous prime is 8258017. The next prime is 8258051. The reversal of 8258048 is 8408528.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 4129024 + 4129024 = 2032^2 + 2032^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2032.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8257999 and 8258017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 64961 + ... + 65087.

Almost surely, 28258048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8258048

8258048 is an abundant number, since it is smaller than the sum of its proper divisors (8372863).

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

8258048 is an frugal number, since it uses more digits than its factorization.

8258048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

The square root of 8258048 is about 2873.6819587421. The cubic root of 8258048 is about 202.1276845252.

It can be divided in two parts, 82580 and 48, that added together give a palindrome (82628).

The spelling of 8258048 in words is "eight million, two hundred fifty-eight thousand, forty-eight".

Divisors: 1 2 4 8 16 32 64 127 128 254 256 508 512 1016 2032 4064 8128 16129 16256 32258 32512 64516 65024 129032 258064 516128 1032256 2064512 4129024 8258048