Search a number
-
+
8663424 = 273711293
BaseRepresentation
bin100001000011…
…000110000000
3121022010222120
4201003012000
54204212144
6505404240
7133431540
oct41030600
917263876
108663424
114987a60
122a99680
131a443b3
141217320
15b61e19
hex843180

8663424 has 128 divisors (see below), whose sum is σ = 28788480. Its totient is φ = 2242560.

The previous prime is 8663401. The next prime is 8663437. The reversal of 8663424 is 4243668.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

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 15 ways as a sum of consecutive naturals, for example, 29422 + ... + 29714.

It is an arithmetic number, because the mean of its divisors is an integer number (224910).

Almost surely, 28663424 is an apocalyptic number.

8663424 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8663424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14394240).

8663424 is an abundant number, since it is smaller than the sum of its proper divisors (20125056).

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

8663424 is a wasteful number, since it uses less digits than its factorization.

8663424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 316 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 8663424 is about 2943.3694977016. The cubic root of 8663424 is about 205.3823836642.

The spelling of 8663424 in words is "eight million, six hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 264 293 308 336 352 384 448 462 528 586 616 672 704 879 896 924 1056 1172 1232 1344 1408 1758 1848 2051 2112 2344 2464 2688 3223 3516 3696 4102 4224 4688 4928 6153 6446 7032 7392 8204 9376 9669 9856 12306 12892 14064 14784 16408 18752 19338 22561 24612 25784 28128 29568 32816 37504 38676 45122 49224 51568 56256 65632 67683 77352 90244 98448 103136 112512 131264 135366 154704 180488 196896 206272 262528 270732 309408 360976 393792 412544 541464 618816 721952 787584 1082928 1237632 1443904 2165856 2887808 4331712 8663424