Search a number
-
+
55072500 = 2235471049
BaseRepresentation
bin1101001000010…
…1011011110100
310211121222021020
43102011123310
5103044310000
65244221140
71236052140
oct322053364
9124558236
1055072500
11290a586a
121653a7b0
13b5431a2
147458220
154c7cba0
hex34856f4

55072500 has 120 divisors (see below), whose sum is σ = 183691200. Its totient is φ = 12576000.

The previous prime is 55072487. The next prime is 55072519. The reversal of 55072500 is 527055.

55072500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51976 + ... + 53024.

It is an arithmetic number, because the mean of its divisors is an integer number (1530760).

Almost surely, 255072500 is an apocalyptic number.

55072500 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 55072500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91845600).

55072500 is an abundant number, since it is smaller than the sum of its proper divisors (128618700).

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

55072500 is a wasteful number, since it uses less digits than its factorization.

55072500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 24.

The square root of 55072500 is about 7421.0848263579. The cubic root of 55072500 is about 380.4622721337.

Adding to 55072500 its reverse (527055), we get a palindrome (55599555).

The spelling of 55072500 in words is "fifty-five million, seventy-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 125 140 150 175 210 250 300 350 375 420 500 525 625 700 750 875 1049 1050 1250 1500 1750 1875 2098 2100 2500 2625 3147 3500 3750 4196 4375 5245 5250 6294 7343 7500 8750 10490 10500 12588 13125 14686 15735 17500 20980 22029 26225 26250 29372 31470 36715 44058 52450 52500 62940 73430 78675 88116 104900 110145 131125 146860 157350 183575 220290 262250 314700 367150 393375 440580 524500 550725 655625 734300 786750 917875 1101450 1311250 1573500 1835750 1966875 2202900 2622500 2753625 3671500 3933750 4589375 5507250 7867500 9178750 11014500 13768125 18357500 27536250 55072500