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48292848 = 243512421
BaseRepresentation
bin1011100000111…
…0001111110000
310100212112100000
42320032033300
544330332343
64443030000
71124324322
oct270161760
9110775300
1048292848
112529514a
121420b300
13a00b366
1465b1612
15438ded3
hex2e0e3f0

48292848 has 60 divisors (see below), whose sum is σ = 140169848. Its totient is φ = 16096320.

The previous prime is 48292843. The next prime is 48292861. The reversal of 48292848 is 84829284.

It is a happy number.

48292848 is a `hidden beast` number, since 482 + 92 + 84 + 8 = 666.

48292848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×482928482 = 4664398335902208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48292841) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2323 + ... + 10098.

Almost surely, 248292848 is an apocalyptic number.

48292848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48292848 is an abundant number, since it is smaller than the sum of its proper divisors (91877000).

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

48292848 is a wasteful number, since it uses less digits than its factorization.

48292848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12444 (or 12426 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 48292848 is about 6949.3055768184. The cubic root of 48292848 is about 364.1617041066.

The spelling of 48292848 in words is "forty-eight million, two hundred ninety-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 12421 24842 37263 49684 74526 99368 111789 149052 198736 223578 298104 335367 447156 596208 670734 894312 1006101 1341468 1788624 2012202 2682936 3018303 4024404 5365872 6036606 8048808 12073212 16097616 24146424 48292848