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5424610100 = 22527131913121
BaseRepresentation
bin1010000110101010…
…01111101100110100
3112000001100202010012
411003111033230310
542102200010400
62254140115352
7251266265540
oct50325175464
915001322105
105424610100
112334061948
121074835b58
13685b08a80
14396630a20
1521b37bd35
hex14354fb34

5424610100 has 144 divisors (see below), whose sum is σ = 14568400896. Its totient is φ = 1707264000.

The previous prime is 5424610097. The next prime is 5424610117. The reversal of 5424610100 is 10164245.

It is a congruent number.

It is an unprimeable number.

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, 1736540 + ... + 1739660.

Almost surely, 25424610100 is an apocalyptic number.

5424610100 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 5424610100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7284200448).

5424610100 is an abundant number, since it is smaller than the sum of its proper divisors (9143790796).

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

5424610100 is a wasteful number, since it uses less digits than its factorization.

5424610100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3346 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 5424610100 is about 73651.9524520566. The cubic root of 5424610100 is about 1757.0718031820.

Adding to 5424610100 its reverse (10164245), we get a palindrome (5434774345).

It can be divided in two parts, 54246 and 10100, that added together give a palindrome (64346).

The spelling of 5424610100 in words is "five billion, four hundred twenty-four million, six hundred ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 191 260 325 350 364 382 455 650 700 764 910 955 1300 1337 1820 1910 2275 2483 2674 3121 3820 4550 4775 4966 5348 6242 6685 9100 9550 9932 12415 12484 13370 15605 17381 19100 21847 24830 26740 31210 33425 34762 40573 43694 49660 62075 62420 66850 69524 78025 81146 86905 87388 109235 124150 133700 156050 162292 173810 202865 218470 248300 284011 312100 347620 405730 434525 436940 546175 568022 596111 811460 869050 1014325 1092350 1136044 1192222 1420055 1738100 2028650 2184700 2384444 2840110 2980555 4057300 4172777 5680220 5961110 7100275 7749443 8345554 11922220 14200550 14902775 15498886 16691108 20863885 28401100 29805550 30997772 38747215 41727770 54246101 59611100 77494430 83455540 104319425 108492202 154988860 193736075 208638850 216984404 271230505 387472150 417277700 542461010 774944300 1084922020 1356152525 2712305050 5424610100