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55100500 = 22537213173
BaseRepresentation
bin1101001000110…
…0010001010100
310211200101200021
43102030101110
5103101204000
65244554524
71236226600
oct322142124
9124611607
1055100500
1129114904
1216552a44
13b552b60
147464500
154c8611a
hex348c454

55100500 has 144 divisors (see below), whose sum is σ = 151626384. Its totient is φ = 17337600.

The previous prime is 55100491. The next prime is 55100503. The reversal of 55100500 is 500155.

It can be written as a sum of positive squares in 8 ways, for example, as 15586704 + 39513796 = 3948^2 + 6286^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55100503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318414 + ... + 318586.

It is an arithmetic number, because the mean of its divisors is an integer number (1052961).

Almost surely, 255100500 is an apocalyptic number.

55100500 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 55100500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75813192).

55100500 is an abundant number, since it is smaller than the sum of its proper divisors (96525884).

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

55100500 is a wasteful number, since it uses less digits than its factorization.

55100500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 16.

The square root of 55100500 is about 7422.9711032713. The cubic root of 55100500 is about 380.5267395100.

Adding to 55100500 its reverse (500155), we get a palindrome (55600655).

It can be divided in two parts, 5 and 5100500, that multiplied together give a square (25502500 = 50502).

The spelling of 55100500 in words is "fifty-five million, one hundred thousand, five hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 49 50 52 65 70 91 98 100 125 130 140 173 175 182 196 245 250 260 325 346 350 364 455 490 500 637 650 692 700 865 875 910 980 1211 1225 1274 1300 1625 1730 1750 1820 2249 2275 2422 2450 2548 3185 3250 3460 3500 4325 4498 4550 4844 4900 6055 6125 6370 6500 8477 8650 8996 9100 11245 11375 12110 12250 12740 15743 15925 16954 17300 21625 22490 22750 24220 24500 30275 31486 31850 33908 42385 43250 44980 45500 56225 60550 62972 63700 78715 79625 84770 86500 110201 112450 121100 151375 157430 159250 169540 211925 220402 224900 281125 302750 314860 318500 393575 423850 440804 551005 562250 605500 787150 847700 1059625 1102010 1124500 1574300 1967875 2119250 2204020 2755025 3935750 4238500 5510050 7871500 11020100 13775125 27550250 55100500