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6642048 = 27372353
BaseRepresentation
bin11001010101100110000000
3110111110011210
4121111212000
53200021143
6354210120
7110312400
oct31254600
913443153
106642048
1138272a6
122283940
1314b730a
14c4c800
158b3033
hex655980

6642048 has 96 divisors (see below), whose sum is σ = 20581560. Its totient is φ = 1892352.

The previous prime is 6642007. The next prime is 6642059. The reversal of 6642048 is 8402466.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18640 + ... + 18992.

Almost surely, 26642048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6642048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10290780).

6642048 is an abundant number, since it is smaller than the sum of its proper divisors (13939512).

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

6642048 is a wasteful number, since it uses less digits than its factorization.

6642048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 6642048 is about 2577.2171037769. The cubic root of 6642048 is about 187.9752494956.

The spelling of 6642048 in words is "six million, six hundred forty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 353 384 392 448 588 672 706 784 896 1059 1176 1344 1412 1568 2118 2352 2471 2688 2824 3136 4236 4704 4942 5648 6272 7413 8472 9408 9884 11296 14826 16944 17297 18816 19768 22592 29652 33888 34594 39536 45184 51891 59304 67776 69188 79072 103782 118608 135552 138376 158144 207564 237216 276752 316288 415128 474432 553504 830256 948864 1107008 1660512 2214016 3321024 6642048