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5505552 = 24321317173
BaseRepresentation
bin10101000000001000010000
3101100201012100
4111000020100
52402134202
6314000400
764540113
oct25001020
911321170
105505552
113120448
121a16100
1311a9c30
14a3457a
1573b41c
hex540210

5505552 has 120 divisors (see below), whose sum is σ = 17670744. Its totient is φ = 1585152.

The previous prime is 5505551. The next prime is 5505593. The reversal of 5505552 is 2555055.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1679616 + 3825936 = 1296^2 + 1956^2 .

It is a super-2 number, since 2×55055522 = 60622205649408, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5505551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31738 + ... + 31910.

Almost surely, 25505552 is an apocalyptic number.

5505552 is a gapful number since it is divisible by the number (52) 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 5505552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8835372).

5505552 is an abundant number, since it is smaller than the sum of its proper divisors (12165192).

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

5505552 is a wasteful number, since it uses less digits than its factorization.

5505552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 6250, while the sum is 27.

The square root of 5505552 is about 2346.3912717192. The cubic root of 5505552 is about 176.5767922281.

The spelling of 5505552 in words is "five million, five hundred five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 34 36 39 48 51 52 68 72 78 102 104 117 136 144 153 156 173 204 208 221 234 272 306 312 346 408 442 468 519 612 624 663 692 816 884 936 1038 1224 1326 1384 1557 1768 1872 1989 2076 2249 2448 2652 2768 2941 3114 3536 3978 4152 4498 5304 5882 6228 6747 7956 8304 8823 8996 10608 11764 12456 13494 15912 17646 17992 20241 23528 24912 26469 26988 31824 35292 35984 38233 40482 47056 52938 53976 70584 76466 80964 105876 107952 114699 141168 152932 161928 211752 229398 305864 323856 344097 423504 458796 611728 688194 917592 1376388 1835184 2752776 5505552