Search a number
-
+
3048192 = 283572
BaseRepresentation
bin1011101000001100000000
312201212100000
423220030000
51240020232
6145200000
734623600
oct13501400
95655300
103048192
1117a2174
121030000
13829584
14594c00
1540327c
hex2e8300

3048192 has 162 divisors, whose sum is σ = 10602228. Its totient is φ = 870912.

The previous prime is 3048173. The next prime is 3048197. The reversal of 3048192 is 2918403.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (162).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3048197) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 435453 + ... + 435459.

Almost surely, 23048192 is an apocalyptic number.

3048192 is a gapful number since it is divisible by the number (32) 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 3048192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5301114).

3048192 is an abundant number, since it is smaller than the sum of its proper divisors (7554036).

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

3048192 is an frugal number, since it uses more digits than its factorization.

3048192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3048192 is about 1745.9072140294. The cubic root of 3048192 is about 144.9931348315.

Multiplying 3048192 by its sum of digits (27), we get a square (82301184 = 90722).

3048192 divided by its sum of digits (27) gives a square (112896 = 3362).

Multiplying 3048192 by its product of nonzero digits (1728), we get a square (5267275776 = 725762).

3048192 divided by its product of nonzero digits (1728) gives a square (1764 = 422).

It can be divided in two parts, 3048 and 192, that added together give a triangular number (3240 = T80).

The spelling of 3048192 in words is "three million, forty-eight thousand, one hundred ninety-two".