Search a number
-
+
395421488 = 247111931663
BaseRepresentation
bin10111100100011…
…010011100110000
31000120001111022022
4113210122130300
51302211441423
6103123131012
712541012220
oct2744323460
91016044268
10395421488
11193229020
12b0513a68
1363bca617
143a732080
1524aabdc8
hex1791a730

395421488 has 80 divisors (see below), whose sum is σ = 960700416. Its totient is φ = 153169920.

The previous prime is 395421487. The next prime is 395421491. The reversal of 395421488 is 884124593.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (395421487) 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, 236945 + ... + 238607.

Almost surely, 2395421488 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 395421488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480350208).

395421488 is an abundant number, since it is smaller than the sum of its proper divisors (565278928).

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

395421488 is a wasteful number, since it uses less digits than its factorization.

395421488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882 (or 1876 counting only the distinct ones).

The product of its digits is 276480, while the sum is 44.

The square root of 395421488 is about 19885.2077685902. The cubic root of 395421488 is about 733.9842745482.

The spelling of 395421488 in words is "three hundred ninety-five million, four hundred twenty-one thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 193 308 386 616 772 1232 1351 1544 1663 2123 2702 3088 3326 4246 5404 6652 8492 10808 11641 13304 14861 16984 18293 21616 23282 26608 29722 33968 36586 46564 59444 73172 93128 118888 128051 146344 186256 237776 256102 292688 320959 512204 641918 1024408 1283836 2048816 2246713 2567672 3530549 4493426 5135344 7061098 8986852 14122196 17973704 24713843 28244392 35947408 49427686 56488784 98855372 197710744 395421488