Search a number
-
+
5526900 = 2233522389
BaseRepresentation
bin10101000101010101110100
3101101210111000
4111011111310
52403330100
6314243300
764656261
oct25052564
911353430
105526900
113135495
121a26530
1311b6872
14a3c268
15742900
hex545574

5526900 has 144 divisors (see below), whose sum is σ = 18748800. Its totient is φ = 1393920.

The previous prime is 5526883. The next prime is 5526901. The reversal of 5526900 is 96255.

It is a super-2 number, since 2×55269002 = 61093247220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5526901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62056 + ... + 62144.

It is an arithmetic number, because the mean of its divisors is an integer number (130200).

Almost surely, 25526900 is an apocalyptic number.

5526900 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 5526900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9374400).

5526900 is an abundant number, since it is smaller than the sum of its proper divisors (13221900).

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

5526900 is a wasteful number, since it uses less digits than its factorization.

5526900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 5526900 is about 2350.9359838158. The cubic root of 5526900 is about 176.8047257529.

The spelling of 5526900 in words is "five million, five hundred twenty-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 25 27 30 36 45 46 50 54 60 69 75 89 90 92 100 108 115 135 138 150 178 180 207 225 230 267 270 276 300 345 356 414 445 450 460 534 540 575 621 675 690 801 828 890 900 1035 1068 1150 1242 1335 1350 1380 1602 1725 1780 2047 2070 2225 2300 2403 2484 2670 2700 3105 3204 3450 4005 4094 4140 4450 4806 5175 5340 6141 6210 6675 6900 8010 8188 8900 9612 10235 10350 12015 12282 12420 13350 15525 16020 18423 20025 20470 20700 24030 24564 26700 30705 31050 36846 40050 40940 48060 51175 55269 60075 61410 62100 73692 80100 92115 102350 110538 120150 122820 153525 184230 204700 221076 240300 276345 307050 368460 460575 552690 614100 921150 1105380 1381725 1842300 2763450 5526900