Search a number
-
+
55245000 = 2335429127
BaseRepresentation
bin1101001010111…
…1100011001000
310211221201220010
43102233203020
5103120320000
65252031520
71240401066
oct322574310
9124851803
1055245000
1129203428
12166025a0
13b5a3865
1474a1036
154cb3d50
hex34af8c8

55245000 has 160 divisors (see below), whose sum is σ = 179942400. Its totient is φ = 14112000.

The previous prime is 55244983. The next prime is 55245023. The reversal of 55245000 is 54255.

55245000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 434937 + ... + 435063.

It is an arithmetic number, because the mean of its divisors is an integer number (1124640).

Almost surely, 255245000 is an apocalyptic number.

55245000 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 55245000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89971200).

55245000 is an abundant number, since it is smaller than the sum of its proper divisors (124697400).

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

55245000 is a wasteful number, since it uses less digits than its factorization.

55245000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 21.

The square root of 55245000 is about 7432.6980296525. The cubic root of 55245000 is about 380.8590904995.

Adding to 55245000 its reverse (54255), we get a palindrome (55299255).

The spelling of 55245000 in words is "fifty-five million, two hundred forty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 125 127 145 150 174 200 232 250 254 290 300 348 375 381 435 500 508 580 600 625 635 696 725 750 762 870 1000 1016 1160 1250 1270 1450 1500 1524 1740 1875 1905 2175 2500 2540 2900 3000 3048 3175 3480 3625 3683 3750 3810 4350 5000 5080 5800 6350 7250 7366 7500 7620 8700 9525 10875 11049 12700 14500 14732 15000 15240 15875 17400 18125 18415 19050 21750 22098 25400 29000 29464 31750 36250 36830 38100 43500 44196 47625 54375 55245 63500 72500 73660 76200 79375 87000 88392 92075 95250 108750 110490 127000 145000 147320 158750 184150 190500 217500 220980 238125 276225 317500 368300 381000 435000 441960 460375 476250 552450 635000 736600 920750 952500 1104900 1381125 1841500 1905000 2209800 2301875 2762250 3683000 4603750 5524500 6905625 9207500 11049000 13811250 18415000 27622500 55245000