Search a number
-
+
6001248 = 253115683
BaseRepresentation
bin10110111001001001100000
3102021220011110
4112321021200
53014014443
6332343320
7102003231
oct26711140
912256143
106001248
113429910
122014b40
131321746
14b23088
157d8233
hex5b9260

6001248 has 48 divisors (see below), whose sum is σ = 17188416. Its totient is φ = 1818240.

The previous prime is 6001217. The next prime is 6001249. The reversal of 6001248 is 8421006.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6001249) 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, 1786 + ... + 3897.

It is an arithmetic number, because the mean of its divisors is an integer number (358092).

Almost surely, 26001248 is an apocalyptic number.

It is an amenable number.

6001248 is an abundant number, since it is smaller than the sum of its proper divisors (11187168).

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

6001248 is a wasteful number, since it uses less digits than its factorization.

6001248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5707 (or 5699 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 6001248 is about 2449.7444764710. The cubic root of 6001248 is about 181.7246571126.

The spelling of 6001248 in words is "six million, one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 5683 11366 17049 22732 34098 45464 62513 68196 90928 125026 136392 181856 187539 250052 272784 375078 500104 545568 750156 1000208 1500312 2000416 3000624 6001248