Search a number
-
+
4289688 = 2332134583
BaseRepresentation
bin10000010111010010011000
322001221100100
4100113102120
52044232223
6231535400
751314244
oct20272230
98057310
104289688
11246a9a7
12152a560
13b726a0
147d9424
1559b043
hex417498

4289688 has 48 divisors (see below), whose sum is σ = 12514320. Its totient is φ = 1319616.

The previous prime is 4289683. The next prime is 4289693. The reversal of 4289688 is 8869824.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4289683) and next prime (4289693).

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

It is an Ulam number.

Its product of digits (221184) is a multiple of the sum of its prime factors (4608).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4289683) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1356 + ... + 3227.

It is an arithmetic number, because the mean of its divisors is an integer number (260715).

Almost surely, 24289688 is an apocalyptic number.

It is an amenable number.

4289688 is an abundant number, since it is smaller than the sum of its proper divisors (8224632).

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

4289688 is a wasteful number, since it uses less digits than its factorization.

4289688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4608 (or 4601 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 4289688 is about 2071.1561988416. The cubic root of 4289688 is about 162.4832392970.

The spelling of 4289688 in words is "four million, two hundred eighty-nine thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 4583 9166 13749 18332 27498 36664 41247 54996 59579 82494 109992 119158 164988 178737 238316 329976 357474 476632 536211 714948 1072422 1429896 2144844 4289688