Search a number
-
+
172268288 = 2819107331
BaseRepresentation
bin10100100010010…
…01101100000000
3110000011010122222
422101021230000
5323100041123
625032150212
74161153623
oct1221115400
9400133588
10172268288
1189271795
1249838368
13298c78ca
1418c43dba
15101cc6c8
hexa449b00

172268288 has 72 divisors (see below), whose sum is σ = 366448320. Its totient is φ = 80593920.

The previous prime is 172268267. The next prime is 172268297. The reversal of 172268288 is 882862271.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 520283 + ... + 520613.

It is an arithmetic number, because the mean of its divisors is an integer number (5089560).

Almost surely, 2172268288 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 172268288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183224160).

172268288 is an abundant number, since it is smaller than the sum of its proper divisors (194180032).

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

172268288 is a wasteful number, since it uses less digits than its factorization.

172268288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 459 counting only the distinct ones).

The product of its digits is 172032, while the sum is 44.

The square root of 172268288 is about 13125.1014472270. The cubic root of 172268288 is about 556.4187794358.

The spelling of 172268288 in words is "one hundred seventy-two million, two hundred sixty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 107 128 152 214 256 304 331 428 608 662 856 1216 1324 1712 2033 2432 2648 3424 4066 4864 5296 6289 6848 8132 10592 12578 13696 16264 21184 25156 27392 32528 35417 42368 50312 65056 70834 84736 100624 130112 141668 201248 260224 283336 402496 520448 566672 672923 804992 1133344 1345846 1609984 2266688 2691692 4533376 5383384 9066752 10766768 21533536 43067072 86134144 172268288