Search a number
-
+
48246912 = 2732731193
BaseRepresentation
bin1011100000001…
…1000010000000
310100210012022200
42320003002000
544322400122
64442033200
71124043360
oct270030200
9110705280
1048246912
112526368a
12141a8800
139cc348c
14659c9a0
1543805ac
hex2e03080

48246912 has 192 divisors, whose sum is σ = 164636160. Its totient is φ = 13271040.

The previous prime is 48246889. The next prime is 48246929. The reversal of 48246912 is 21964284.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249888 + ... + 250080.

It is an arithmetic number, because the mean of its divisors is an integer number (857480).

Almost surely, 248246912 is an apocalyptic number.

48246912 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48246912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82318080).

48246912 is an abundant number, since it is smaller than the sum of its proper divisors (116389248).

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

48246912 is a wasteful number, since it uses less digits than its factorization.

48246912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 236 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 48246912 is about 6945.9997120645. Note that the first 3 decimals coincide. The cubic root of 48246912 is about 364.0462043349.

The spelling of 48246912 in words is "forty-eight million, two hundred forty-six thousand, nine hundred twelve".