Search a number
-
+
6048672 = 25379001
BaseRepresentation
bin10111000100101110100000
3102101022012220
4113010232200
53022024142
6333351040
7102261420
oct27045640
912338186
106048672
113461503
122038480
13133a1c6
14b36480
157e72ec
hex5c4ba0

6048672 has 48 divisors (see below), whose sum is σ = 18148032. Its totient is φ = 1728000.

The previous prime is 6048671. The next prime is 6048673. The reversal of 6048672 is 2768406.

It is an interprime number because it is at equal distance from previous prime (6048671) and next prime (6048673).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (6048671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3829 + ... + 5172.

It is an arithmetic number, because the mean of its divisors is an integer number (378084).

Almost surely, 26048672 is an apocalyptic number.

It is an amenable number.

6048672 is an abundant number, since it is smaller than the sum of its proper divisors (12099360).

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

6048672 is a wasteful number, since it uses less digits than its factorization.

6048672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9021 (or 9013 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 6048672 is about 2459.4048060456. The cubic root of 6048672 is about 182.2020860381.

It can be divided in two parts, 6048 and 672, that multiplied together give a square (4064256 = 20162).

The spelling of 6048672 in words is "six million, forty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 9001 18002 27003 36004 54006 63007 72008 108012 126014 144016 189021 216024 252028 288032 378042 432048 504056 756084 864096 1008112 1512168 2016224 3024336 6048672