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48382334 = 27112134
BaseRepresentation
bin1011100010010…
…0000101111110
310101001002002022
42320210011332
544341213314
64445000142
71125146240
oct270440576
9111032068
1048382334
1125346400
1214253052
13a040000
1465d6090
1543aa78e
hex2e2417e

48382334 has 60 divisors (see below), whose sum is σ = 98763672. Its totient is φ = 17400240.

The previous prime is 48382331. The next prime is 48382381. The reversal of 48382334 is 43328384.

48382334 = T244 + T245 + ... + T672.

48382334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 48382294 and 48382303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48382331) 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 29 ways as a sum of consecutive naturals, for example, 3721712 + ... + 3721724.

Almost surely, 248382334 is an apocalyptic number.

48382334 is an abundant number, since it is smaller than the sum of its proper divisors (50381338).

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

48382334 is an equidigital number, since it uses as much as digits as its factorization.

48382334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 33 counting only the distinct ones).

The product of its digits is 55296, while the sum is 35.

The square root of 48382334 is about 6955.7410820128. The cubic root of 48382334 is about 364.3864942381.

The spelling of 48382334 in words is "forty-eight million, three hundred eighty-two thousand, three hundred thirty-four".

Divisors: 1 2 7 11 13 14 22 26 77 91 121 143 154 169 182 242 286 338 847 1001 1183 1573 1694 1859 2002 2197 2366 3146 3718 4394 11011 13013 15379 20449 22022 24167 26026 28561 30758 40898 48334 57122 143143 169169 199927 265837 286286 314171 338338 399854 531674 628342 1860859 2199197 3455881 3721718 4398394 6911762 24191167 48382334