Search a number
-
+
48306006 = 23271073583
BaseRepresentation
bin1011100001000…
…1011101010110
310100220012101100
42320101131112
544331243011
64443210530
71124410560
oct270213526
9110805340
1048306006
11252a4021
1214216a46
13a014348
1465b6330
154392d56
hex2e11756

48306006 has 48 divisors (see below), whose sum is σ = 120766464. Its totient is φ = 13668912.

The previous prime is 48305987. The next prime is 48306007. The reversal of 48306006 is 60060384.

48306006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48306007) 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 23 ways as a sum of consecutive naturals, for example, 11691 + ... + 15273.

It is an arithmetic number, because the mean of its divisors is an integer number (2515968).

Almost surely, 248306006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48306006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60383232).

48306006 is an abundant number, since it is smaller than the sum of its proper divisors (72460458).

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

48306006 is a wasteful number, since it uses less digits than its factorization.

48306006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3705 (or 3702 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 48306006 is about 6950.2522256390. The cubic root of 48306006 is about 364.1947745976.

The spelling of 48306006 in words is "forty-eight million, three hundred six thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 107 126 214 321 642 749 963 1498 1926 2247 3583 4494 6741 7166 10749 13482 21498 25081 32247 50162 64494 75243 150486 225729 383381 451458 766762 1150143 2300286 2683667 3450429 5367334 6900858 8051001 16102002 24153003 48306006