Search a number
-
+
4289274 = 234112983
BaseRepresentation
bin10000010111001011111010
322001220210000
4100113023322
52044224044
6231533430
751313113
oct20271372
98056700
104289274
11246a660
12152a276
13b72442
147d920a
1559ad69
hex4172fa

4289274 has 80 divisors (see below), whose sum is σ = 10977120. Its totient is φ = 1239840.

The previous prime is 4289251. The next prime is 4289279. The reversal of 4289274 is 4729824.

4289274 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 45 + 25 + 85 + 95 + 211 + 72 + 411 .

Its product of digits (32256) is a multiple of the sum of its prime divisors (128).

It is not an unprimeable number, because it can be changed into a prime (4289279) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51637 + ... + 51719.

It is an arithmetic number, because the mean of its divisors is an integer number (137214).

Almost surely, 24289274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4289274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5488560).

4289274 is an abundant number, since it is smaller than the sum of its proper divisors (6687846).

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

4289274 is a wasteful number, since it uses less digits than its factorization.

4289274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 128 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 4289274 is about 2071.0562522539. The cubic root of 4289274 is about 162.4780120151.

The spelling of 4289274 in words is "four million, two hundred eighty-nine thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 54 58 66 81 83 87 99 162 166 174 198 249 261 297 319 498 522 594 638 747 783 891 913 957 1494 1566 1782 1826 1914 2241 2349 2407 2739 2871 4482 4698 4814 5478 5742 6723 7221 8217 8613 13446 14442 16434 17226 21663 24651 25839 26477 43326 49302 51678 52954 64989 73953 79431 129978 147906 158862 194967 238293 389934 476586 714879 1429758 2144637 4289274