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6642272 = 257132281
BaseRepresentation
bin11001010101101001100000
3110111110111002
4121111221200
53200023042
6354211132
7110313140
oct31255140
913443432
106642272
11382748a
122283aa8
1314b7450
14c4c920
158b3132
hex655a60

6642272 has 48 divisors (see below), whose sum is σ = 16101792. Its totient is φ = 2626560.

The previous prime is 6642211. The next prime is 6642281. The reversal of 6642272 is 2722466.

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, 1772 + ... + 4052.

It is an arithmetic number, because the mean of its divisors is an integer number (335454).

Almost surely, 26642272 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 6642272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8050896).

6642272 is an abundant number, since it is smaller than the sum of its proper divisors (9459520).

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

6642272 is a wasteful number, since it uses less digits than its factorization.

6642272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2311 (or 2303 counting only the distinct ones).

The product of its digits is 8064, while the sum is 29.

The square root of 6642272 is about 2577.2605611385. The cubic root of 6642272 is about 187.9773625980.

The spelling of 6642272 in words is "six million, six hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2281 2912 4562 9124 15967 18248 29653 31934 36496 59306 63868 72992 118612 127736 207571 237224 255472 415142 474448 510944 830284 948896 1660568 3321136 6642272