Search a number
-
+
5355325404 = 22321113280021
BaseRepresentation
bin1001111110011001…
…11100011111011100
3111211012222201101100
410333030330133130
541431430403104
62243223113100
7246465341412
oct47714743734
914735881340
105355325404
1122a8a3a270
1210555a2790
1367465aa00
1438b3572b2
15215243139
hex13f33c7dc

5355325404 has 108 divisors (see below), whose sum is σ = 15991276392. Its totient is φ = 1497974400.

The previous prime is 5355325403. The next prime is 5355325411. The reversal of 5355325404 is 4045235535.

5355325404 is a `hidden beast` number, since 53 + 553 + 2 + 54 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5355325403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26914 + ... + 106934.

It is an arithmetic number, because the mean of its divisors is an integer number (148067374).

Almost surely, 25355325404 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 5355325404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7995638196).

5355325404 is an abundant number, since it is smaller than the sum of its proper divisors (10635950988).

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

5355325404 is a wasteful number, since it uses less digits than its factorization.

5355325404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80068 (or 80050 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 36.

The square root of 5355325404 is about 73180.0888493585. The cubic root of 5355325404 is about 1749.5591165823.

The spelling of 5355325404 in words is "five billion, three hundred fifty-five million, three hundred twenty-five thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 169 198 234 286 338 396 429 468 507 572 676 858 1014 1287 1521 1716 1859 2028 2574 3042 3718 5148 5577 6084 7436 11154 16731 22308 33462 66924 80021 160042 240063 320084 480126 720189 880231 960252 1040273 1440378 1760462 2080546 2640693 2880756 3120819 3520924 4161092 5281386 6241638 7922079 9362457 10562772 11443003 12483276 13523549 15844158 18724914 22886006 27047098 31688316 34329009 37449828 40570647 45772012 54094196 68658018 81141294 102987027 121711941 137316036 148759039 162282588 205974054 243423882 297518078 411948108 446277117 486847764 595036156 892554234 1338831351 1785108468 2677662702 5355325404