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6082272 = 253272431
BaseRepresentation
bin10111001100111011100000
3102110000022100
4113030323200
53024113042
6334210400
7102461400
oct27147340
912400270
106082272
113484779
122053a00
13134c5a1
14b44800
1580224c
hex5ccee0

6082272 has 108 divisors (see below), whose sum is σ = 20167056. Its totient is φ = 1733760.

The previous prime is 6082267. The next prime is 6082273. The reversal of 6082272 is 2722806.

6082272 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6082273) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13897 + ... + 14327.

It is an arithmetic number, because the mean of its divisors is an integer number (186732).

Almost surely, 26082272 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 6082272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10083528).

6082272 is an abundant number, since it is smaller than the sum of its proper divisors (14084784).

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

6082272 is a wasteful number, since it uses less digits than its factorization.

6082272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 6082272 is about 2466.2262669917. The cubic root of 6082272 is about 182.5388370465.

The spelling of 6082272 in words is "six million, eighty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 431 441 504 588 672 784 862 882 1008 1176 1293 1568 1724 1764 2016 2352 2586 3017 3448 3528 3879 4704 5172 6034 6896 7056 7758 9051 10344 12068 13792 14112 15516 18102 20688 21119 24136 27153 31032 36204 41376 42238 48272 54306 62064 63357 72408 84476 96544 108612 124128 126714 144816 168952 190071 217224 253428 289632 337904 380142 434448 506856 675808 760284 868896 1013712 1520568 2027424 3041136 6082272