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5505500 = 2253711213
BaseRepresentation
bin10101000000000111011100
3101100201010102
4111000013130
52402134000
6314000232
764540010
oct25000734
911321112
105505500
113120400
121a16078
1311a9bc0
14a34540
1573b3d5
hex5401dc

5505500 has 144 divisors (see below), whose sum is σ = 16266432. Its totient is φ = 1584000.

The previous prime is 5505449. The next prime is 5505527. The reversal of 5505500 is 55055.

5505500 = T35 + T36 + ... + T320.

It is a happy number.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423494 + ... + 423506.

Almost surely, 25505500 is an apocalyptic number.

5505500 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 5505500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8133216).

5505500 is an abundant number, since it is smaller than the sum of its proper divisors (10760932).

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

5505500 is a wasteful number, since it uses less digits than its factorization.

5505500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 20.

The square root of 5505500 is about 2346.3801908472. The cubic root of 5505500 is about 176.5762363031.

Multiplying 5505500 by its reverse (55055), we get a square (303105302500 = 5505502).

5505500 divided by its reverse (55055) gives a square (100 = 102).

It can be divided in two parts, 5 and 505500, that added together give a palindrome (505505).

The spelling of 5505500 in words is "five million, five hundred five thousand, five hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 121 125 130 140 143 154 175 182 220 242 250 260 275 286 308 325 350 364 385 455 484 500 550 572 605 650 700 715 770 847 875 910 1001 1100 1210 1300 1375 1430 1540 1573 1625 1694 1750 1820 1925 2002 2275 2420 2750 2860 3025 3146 3250 3388 3500 3575 3850 4004 4235 4550 5005 5500 6050 6292 6500 7150 7700 7865 8470 9100 9625 10010 11011 11375 12100 14300 15125 15730 16940 17875 19250 20020 21175 22022 22750 25025 30250 31460 35750 38500 39325 42350 44044 45500 50050 55055 60500 71500 78650 84700 100100 105875 110110 125125 157300 196625 211750 220220 250250 275275 393250 423500 500500 550550 786500 1101100 1376375 2752750 5505500