Search a number
-
+
664382500 = 22541971197
BaseRepresentation
bin100111100110011…
…010110000100100
31201022011010110021
4213212122300210
52330040220000
6145532004524
722315105135
oct4746326044
91638133407
10664382500
11311032451
12166600744
13a784b552
1464345c8c
153d4d911a
hex2799ac24

664382500 has 120 divisors (see below), whose sum is σ = 1558751040. Its totient is φ = 246960000.

The previous prime is 664382497. The next prime is 664382501. The reversal of 664382500 is 5283466.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (664382501) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3372402 + ... + 3372598.

It is an arithmetic number, because the mean of its divisors is an integer number (12989592).

Almost surely, 2664382500 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 664382500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779375520).

664382500 is an abundant number, since it is smaller than the sum of its proper divisors (894368540).

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

664382500 is a wasteful number, since it uses less digits than its factorization.

664382500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 664382500 is about 25775.6183243002. The cubic root of 664382500 is about 872.5816214148.

The spelling of 664382500 in words is "six hundred sixty-four million, three hundred eighty-two thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 71 76 95 100 125 142 190 197 250 284 355 380 394 475 500 625 710 788 950 985 1250 1349 1420 1775 1900 1970 2375 2500 2698 3550 3743 3940 4750 4925 5396 6745 7100 7486 8875 9500 9850 11875 13490 13987 14972 17750 18715 19700 23750 24625 26980 27974 33725 35500 37430 44375 47500 49250 55948 67450 69935 74860 88750 93575 98500 123125 134900 139870 168625 177500 187150 246250 265753 279740 337250 349675 374300 467875 492500 531506 674500 699350 843125 935750 1063012 1328765 1398700 1686250 1748375 1871500 2339375 2657530 3372500 3496750 4678750 5315060 6643825 6993500 8741875 9357500 13287650 17483750 26575300 33219125 34967500 66438250 132876500 166095625 332191250 664382500