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5889672 = 233461149
BaseRepresentation
bin10110011101111010001000
3102002020010000
4112131322020
53001432142
6330123000
7101030025
oct26357210
912066100
105889672
113362aa8
121b80460
1312b2a19
14ad454c
157b514c
hex59de88

5889672 has 80 divisors (see below), whose sum is σ = 16879500. Its totient is φ = 1918080.

The previous prime is 5889671. The next prime is 5889683. The reversal of 5889672 is 2769885.

5889672 is a `hidden beast` number, since 588 + 9 + 67 + 2 = 666.

5889672 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4435236 + 1454436 = 2106^2 + 1206^2 .

It is not an unprimeable number, because it can be changed into a prime (5889671) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39454 + ... + 39602.

Almost surely, 25889672 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 5889672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8439750).

5889672 is an abundant number, since it is smaller than the sum of its proper divisors (10989828).

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

5889672 is a wasteful number, since it uses less digits than its factorization.

5889672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 215 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 5889672 is about 2426.8646439388. The cubic root of 5889672 is about 180.5913882054.

It can be divided in two parts, 5889 and 672, that added together give a 8-th power (6561 = 38).

The spelling of 5889672 in words is "five million, eight hundred eighty-nine thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 81 108 122 149 162 183 216 244 298 324 366 447 488 549 596 648 732 894 1098 1192 1341 1464 1647 1788 2196 2682 3294 3576 4023 4392 4941 5364 6588 8046 9089 9882 10728 12069 13176 16092 18178 19764 24138 27267 32184 36356 39528 48276 54534 72712 81801 96552 109068 163602 218136 245403 327204 490806 654408 736209 981612 1472418 1963224 2944836 5889672