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6642944 = 28711337
BaseRepresentation
bin11001010101110100000000
3110111111101222
4121111310000
53200033234
6354214212
7110315120
oct31256400
913444358
106642944
113827a40
122284368
1314b7849
14c4cc80
158b342e
hex655d00

6642944 has 72 divisors (see below), whose sum is σ = 16580928. Its totient is φ = 2580480.

The previous prime is 6642919. The next prime is 6642991. The reversal of 6642944 is 4492466.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19544 + ... + 19880.

Almost surely, 26642944 is an apocalyptic number.

6642944 is a gapful number since it is divisible by the number (64) 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 6642944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8290464).

6642944 is an abundant number, since it is smaller than the sum of its proper divisors (9937984).

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

6642944 is a wasteful number, since it uses less digits than its factorization.

6642944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 357 counting only the distinct ones).

The product of its digits is 41472, while the sum is 35.

The square root of 6642944 is about 2577.3909288271. The cubic root of 6642944 is about 187.9837016201.

The spelling of 6642944 in words is "six million, six hundred forty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 337 352 448 616 674 704 896 1232 1348 1408 1792 2359 2464 2696 2816 3707 4718 4928 5392 7414 9436 9856 10784 14828 18872 19712 21568 25949 29656 37744 43136 51898 59312 75488 86272 103796 118624 150976 207592 237248 301952 415184 474496 603904 830368 948992 1660736 3321472 6642944