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208531488 = 25311593347
BaseRepresentation
bin11000110110111…
…11000000100000
3112112101111102110
430123133000200
5411341001423
632405315320
75111326344
oct1433370040
9475344373
10208531488
11a778a880
1259a05b40
1334283619
141d9a3624
1513492193
hexc6df020

208531488 has 96 divisors (see below), whose sum is σ = 607461120. Its totient is φ = 62101760.

The previous prime is 208531487. The next prime is 208531493. The reversal of 208531488 is 884135802.

208531488 = T6152 + T6153 + ... + T6162.

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

It is not an unprimeable number, because it can be changed into a prime (208531483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60631 + ... + 63977.

It is an arithmetic number, because the mean of its divisors is an integer number (6327720).

Almost surely, 2208531488 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 208531488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303730560).

208531488 is an abundant number, since it is smaller than the sum of its proper divisors (398929632).

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

208531488 is a wasteful number, since it uses less digits than its factorization.

208531488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3430 (or 3422 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 208531488 is about 14440.6193772982. The cubic root of 208531488 is about 593.0034418591.

The spelling of 208531488 in words is "two hundred eight million, five hundred thirty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 59 66 88 96 118 132 176 177 236 264 352 354 472 528 649 708 944 1056 1298 1416 1888 1947 2596 2832 3347 3894 5192 5664 6694 7788 10041 10384 13388 15576 20082 20768 26776 31152 36817 40164 53552 62304 73634 80328 107104 110451 147268 160656 197473 220902 294536 321312 394946 441804 589072 592419 789892 883608 1178144 1184838 1579784 1767216 2172203 2369676 3159568 3534432 4344406 4739352 6319136 6516609 8688812 9478704 13033218 17377624 18957408 26066436 34755248 52132872 69510496 104265744 208531488