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5485523100 = 22352109227739
BaseRepresentation
bin1010001101111011…
…00111000010011100
3112011021222110001020
411012331213002130
542213243214400
62304153444140
7252636114501
oct50675470234
915137873036
105485523100
112365486772
121091110650
13695615475
143a07694a8
152218b02a0
hex146f6709c

5485523100 has 144 divisors (see below), whose sum is σ = 16109385600. Its totient is φ = 1441048320.

The previous prime is 5485523083. The next prime is 5485523107. The reversal of 5485523100 is 13255845.

It is a super-2 number, since 2×54855231002 = 60181927361267220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5485523107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7422531 + ... + 7423269.

Almost surely, 25485523100 is an apocalyptic number.

5485523100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5485523100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8054692800).

5485523100 is an abundant number, since it is smaller than the sum of its proper divisors (10623862500).

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

5485523100 is a wasteful number, since it uses less digits than its factorization.

5485523100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 5485523100 is about 74064.3173194758. The cubic root of 5485523100 is about 1763.6240644060.

Adding to 5485523100 its reverse (13255845), we get a palindrome (5498778945).

The spelling of 5485523100 in words is "five billion, four hundred eighty-five million, five hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 109 150 218 227 300 327 436 454 545 654 681 739 908 1090 1135 1308 1362 1478 1635 2180 2217 2270 2724 2725 2956 3270 3405 3695 4434 4540 5450 5675 6540 6810 7390 8175 8868 10900 11085 11350 13620 14780 16350 17025 18475 22170 22700 24743 32700 34050 36950 44340 49486 55425 68100 73900 74229 80551 98972 110850 123715 148458 161102 167753 221700 241653 247430 296916 322204 335506 371145 402755 483306 494860 503259 618575 671012 742290 805510 838765 966612 1006518 1208265 1237150 1484580 1611020 1677530 1855725 2013036 2013775 2416530 2474300 2516295 3355060 3711450 4027550 4193825 4833060 5032590 6041325 7422900 8055100 8387650 10065180 12082650 12581475 16775300 18285077 24165300 25162950 36570154 50325900 54855231 73140308 91425385 109710462 182850770 219420924 274276155 365701540 457126925 548552310 914253850 1097104620 1371380775 1828507700 2742761550 5485523100