Search a number
-
+
896441535 = 3251117307347
BaseRepresentation
bin110101011011101…
…001110010111111
32022110210221121100
4311123221302333
53313442112120
6224541504143
731133425113
oct6533516277
92273727540
10896441535
11420021880
12210272053
1311394baa2
14870b1743
1553a77490
hex356e9cbf

896441535 has 96 divisors (see below), whose sum is σ = 1805836032. Its totient is φ = 406563840.

The previous prime is 896441503. The next prime is 896441551. The reversal of 896441535 is 535144698.

It is not a de Polignac number, because 896441535 - 25 = 896441503 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2583232 + ... + 2583578.

It is an arithmetic number, because the mean of its divisors is an integer number (18810792).

Almost surely, 2896441535 is an apocalyptic number.

896441535 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

896441535 is an abundant number, since it is smaller than the sum of its proper divisors (909394497).

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

896441535 is a wasteful number, since it uses less digits than its factorization.

896441535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 690 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 896441535 is about 29940.6335103317. The cubic root of 896441535 is about 964.2152371301.

The spelling of 896441535 in words is "eight hundred ninety-six million, four hundred forty-one thousand, five hundred thirty-five".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 85 99 153 165 187 255 307 347 495 561 765 921 935 1041 1535 1683 1735 2763 2805 3123 3377 3817 4605 5205 5219 5899 8415 10131 11451 13815 15615 15657 16885 17697 19085 26095 29495 30393 34353 46971 50655 53091 57255 57409 64889 78285 88485 106529 151965 171765 172227 194667 234855 265455 287045 319587 324445 516681 532645 584001 861135 958761 973335 1171819 1597935 1810993 2583405 2920005 3515457 4793805 5432979 5859095 9054965 10546371 16298937 17577285 19920923 27164895 52731855 59762769 81494685 99604615 179288307 298813845 896441535