Search a number
-
+
8728224 = 253235967
BaseRepresentation
bin100001010010…
…111010100000
3121102102212120
4201102322200
54213300344
6511024240
7134121501
oct41227240
917372776
108728224
114a2170a
122b0b080
131a67a3b
141232ba8
15b76219
hex852ea0

8728224 has 96 divisors (see below), whose sum is σ = 24675840. Its totient is φ = 2694912.

The previous prime is 8728211. The next prime is 8728241. The reversal of 8728224 is 4228278.

It is a tau number, because it is divible by the number of its divisors (96).

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, 130239 + ... + 130305.

It is an arithmetic number, because the mean of its divisors is an integer number (257040).

Almost surely, 28728224 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 8728224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12337920).

8728224 is an abundant number, since it is smaller than the sum of its proper divisors (15947616).

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

8728224 is a wasteful number, since it uses less digits than its factorization.

8728224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 154 counting only the distinct ones).

The product of its digits is 14336, while the sum is 33.

The square root of 8728224 is about 2954.3567827871. The cubic root of 8728224 is about 205.8931799220.

The spelling of 8728224 in words is "eight million, seven hundred twenty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 59 67 69 92 96 118 134 138 177 184 201 236 268 276 354 368 402 472 536 552 708 736 804 944 1072 1104 1357 1416 1541 1608 1888 2144 2208 2714 2832 3082 3216 3953 4071 4623 5428 5664 6164 6432 7906 8142 9246 10856 11859 12328 15812 16284 18492 21712 23718 24656 31624 32568 36984 43424 47436 49312 63248 65136 73968 90919 94872 126496 130272 147936 181838 189744 272757 363676 379488 545514 727352 1091028 1454704 2182056 2909408 4364112 8728224