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48587168 = 257316997
BaseRepresentation
bin1011100101011…
…0000110100000
310101102111001202
42321112012200
544414242133
64453220332
71126661360
oct271260640
9111374052
1048587168
1125476293
12143316a8
13a0b2306
14664a9a0
1543eb2e8
hex2e561a0

48587168 has 48 divisors (see below), whose sum is σ = 112863744. Its totient is φ = 20148480.

The previous prime is 48587141. The next prime is 48587177. The reversal of 48587168 is 86178584.

It is a happy number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3446 + ... + 10442.

It is an arithmetic number, because the mean of its divisors is an integer number (2351328).

Almost surely, 248587168 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 48587168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56431872).

48587168 is an abundant number, since it is smaller than the sum of its proper divisors (64276576).

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

48587168 is a wasteful number, since it uses less digits than its factorization.

48587168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7045 (or 7037 counting only the distinct ones).

The product of its digits is 430080, while the sum is 47.

The square root of 48587168 is about 6970.4496268175. The cubic root of 48587168 is about 364.8999988760.

The spelling of 48587168 in words is "forty-eight million, five hundred eighty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 3472 6944 6997 13994 27988 48979 55976 97958 111952 195916 216907 223904 391832 433814 783664 867628 1518349 1567328 1735256 3036698 3470512 6073396 6941024 12146792 24293584 48587168