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48377106 = 2324575881
BaseRepresentation
bin1011100010001…
…0110100010010
310101000210220200
42320202310102
544341031411
64444520030
71125125061
oct270426422
9111023820
1048377106
1125342488
1214250016
13a03a80b
1465d41d8
1543a8e56
hex2e22d12

48377106 has 24 divisors (see below), whose sum is σ = 105064284. Its totient is φ = 16087680.

The previous prime is 48377071. The next prime is 48377111. The reversal of 48377106 is 60177384.

48377106 is a `hidden beast` number, since 483 + 77 + 106 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41486481 + 6890625 = 6441^2 + 2625^2 .

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 11 ways as a sum of consecutive naturals, for example, 5286 + ... + 11166.

Almost surely, 248377106 is an apocalyptic number.

48377106 is an abundant number, since it is smaller than the sum of its proper divisors (56687178).

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

48377106 is a wasteful number, since it uses less digits than its factorization.

48377106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6346 (or 6343 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 48377106 is about 6955.3652671876. The cubic root of 48377106 is about 364.3733690534.

The spelling of 48377106 in words is "forty-eight million, three hundred seventy-seven thousand, one hundred six".

Divisors: 1 2 3 6 9 18 457 914 1371 2742 4113 5881 8226 11762 17643 35286 52929 105858 2687617 5375234 8062851 16125702 24188553 48377106