Search a number
-
+
4289184 = 253253281
BaseRepresentation
bin10000010111001010100000
322001220122200
4100113022200
52044223214
6231533200
751312624
oct20271240
98056580
104289184
11246a589
12152a200
13b723a3
147d9184
1559ad09
hex4172a0

4289184 has 72 divisors (see below), whose sum is σ = 12471732. Its totient is φ = 1397760.

The previous prime is 4289149. The next prime is 4289213. The reversal of 4289184 is 4819824.

It can be written as a sum of positive squares in 2 ways, for example, as 4112784 + 176400 = 2028^2 + 420^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15124 + ... + 15404.

Almost surely, 24289184 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 4289184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6235866).

4289184 is an abundant number, since it is smaller than the sum of its proper divisors (8182548).

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

4289184 is a wasteful number, since it uses less digits than its factorization.

4289184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 339 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 4289184 is about 2071.0345240966. The cubic root of 4289184 is about 162.4768756049.

The spelling of 4289184 in words is "four million, two hundred eighty-nine thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 281 288 318 424 477 562 636 843 848 954 1124 1272 1686 1696 1908 2248 2529 2544 3372 3816 4496 5058 5088 6744 7632 8992 10116 13488 14893 15264 20232 26976 29786 40464 44679 59572 80928 89358 119144 134037 178716 238288 268074 357432 476576 536148 714864 1072296 1429728 2144592 4289184