Search a number
-
+
488684568 = 233294714939
BaseRepresentation
bin11101001000001…
…011110000011000
31021001112202012110
4131020023300120
52000100401233
6120254112320
715052515231
oct3510136030
91231482173
10488684568
11230938a49
121177ab6a0
137a322888
1448c8c088
152cd80663
hex1d20bc18

488684568 has 64 divisors (see below), whose sum is σ = 1290816000. Its totient is φ = 153921152.

The previous prime is 488684543. The next prime is 488684569. The reversal of 488684568 is 865486884.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488684569) 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, 25243 + ... + 40181.

It is an arithmetic number, because the mean of its divisors is an integer number (20169000).

Almost surely, 2488684568 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 488684568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645408000).

488684568 is an abundant number, since it is smaller than the sum of its proper divisors (802131432).

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

488684568 is a wasteful number, since it uses less digits than its factorization.

488684568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15024 (or 15020 counting only the distinct ones).

The product of its digits is 11796480, while the sum is 57.

The square root of 488684568 is about 22106.2110729089. The cubic root of 488684568 is about 787.6674066878.

The spelling of 488684568 in words is "four hundred eighty-eight million, six hundred eighty-four thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 47 58 87 94 116 141 174 188 232 282 348 376 564 696 1128 1363 2726 4089 5452 8178 10904 14939 16356 29878 32712 44817 59756 89634 119512 179268 358536 433231 702133 866462 1299693 1404266 1732924 2106399 2599386 2808532 3465848 4212798 5198772 5617064 8425596 10397544 16851192 20361857 40723714 61085571 81447428 122171142 162894856 244342284 488684568