Search a number
-
+
395491248 = 243641827
BaseRepresentation
bin10111100100101…
…011011110110000
31000120012001000000
4113210223132300
51302221204443
6103124430000
712541422465
oct2744533660
91016161000
10395491248
11193276479
12b0548300
1363c232b9
143a74d66c
1524ac28d3
hex1792b7b0

395491248 has 140 divisors (see below), whose sum is σ = 1178315208. Its totient is φ = 128459520.

The previous prime is 395491199. The next prime is 395491259. The reversal of 395491248 is 842194593.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 477811 + ... + 478637.

Almost surely, 2395491248 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 395491248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589157604).

395491248 is an abundant number, since it is smaller than the sum of its proper divisors (782823960).

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

395491248 is an equidigital number, since it uses as much as digits as its factorization.

395491248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 873 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 395491248 is about 19886.9617589012. The cubic root of 395491248 is about 734.0274350186.

The spelling of 395491248 in words is "three hundred ninety-five million, four hundred ninety-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 81 82 108 123 144 162 164 216 243 246 324 328 369 432 486 492 648 656 729 738 827 972 984 1107 1296 1458 1476 1654 1944 1968 2214 2481 2916 2952 3308 3321 3888 4428 4962 5832 5904 6616 6642 7443 8856 9924 9963 11664 13232 13284 14886 17712 19848 19926 22329 26568 29772 29889 33907 39696 39852 44658 53136 59544 59778 66987 67814 79704 89316 101721 119088 119556 133974 135628 159408 178632 200961 203442 239112 267948 271256 305163 357264 401922 406884 478224 535896 542512 602883 610326 803844 813768 915489 1071792 1205766 1220652 1607688 1627536 1830978 2411532 2441304 2746467 3215376 3661956 4823064 4882608 5492934 7323912 8239401 9646128 10985868 14647824 16478802 21971736 24718203 32957604 43943472 49436406 65915208 98872812 131830416 197745624 395491248