Search a number
-
+
50552100 = 223452792
BaseRepresentation
bin1100000011010…
…1110100100100
310112010022110000
43000311310210
5100420131400
65003301300
71152454134
oct300656444
9115108400
1050552100
11265985a5
1214b1a830
13a61c7b1
1469dcac4
154688600
hex3035d24

50552100 has 135 divisors (see below), whose sum is σ = 165970497. Its totient is φ = 13309920.

The previous prime is 50552083. The next prime is 50552107. The reversal of 50552100 is 125505.

The square root of 50552100 is 7110.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 18198756 + 32353344 = 4266^2 + 5688^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (50552107) 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 44 ways as a sum of consecutive naturals, for example, 639861 + ... + 639939.

Almost surely, 250552100 is an apocalyptic number.

50552100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

50552100 is the 7110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50552100

50552100 is an abundant number, since it is smaller than the sum of its proper divisors (115418397).

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

50552100 is a wasteful number, since it uses less digits than its factorization.

50552100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The cubic root of 50552100 is about 369.7541585797.

Adding to 50552100 its reverse (125505), we get a palindrome (50677605).

The spelling of 50552100 in words is "fifty million, five hundred fifty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 79 81 90 100 108 135 150 158 162 180 225 237 270 300 316 324 395 405 450 474 540 675 711 790 810 900 948 1185 1350 1422 1580 1620 1975 2025 2133 2370 2700 2844 3555 3950 4050 4266 4740 5925 6241 6399 7110 7900 8100 8532 10665 11850 12482 12798 14220 17775 18723 21330 23700 24964 25596 31205 31995 35550 37446 42660 53325 56169 62410 63990 71100 74892 93615 106650 112338 124820 127980 156025 159975 168507 187230 213300 224676 280845 312050 319950 337014 374460 468075 505521 561690 624100 639900 674028 842535 936150 1011042 1123380 1404225 1685070 1872300 2022084 2527605 2808450 3370140 4212675 5055210 5616900 8425350 10110420 12638025 16850700 25276050 50552100