Search a number
-
+
55836500 = 2253176569
BaseRepresentation
bin1101010011111…
…1111101010100
310220001210021112
43110333331110
5103243232000
65312434152
71245413426
oct324777524
9126053245
1055836500
1129577875
1216848958
13b74cb65
1475b6816
154d7e235
hex353ff54

55836500 has 48 divisors (see below), whose sum is σ = 129139920. Its totient is φ = 21017600.

The previous prime is 55836493. The next prime is 55836503. The reversal of 55836500 is 563855.

It can be written as a sum of positive squares in 8 ways, for example, as 2808976 + 53027524 = 1676^2 + 7282^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55836503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5216 + ... + 11784.

It is an arithmetic number, because the mean of its divisors is an integer number (2690415).

Almost surely, 255836500 is an apocalyptic number.

55836500 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 55836500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64569960).

55836500 is an abundant number, since it is smaller than the sum of its proper divisors (73303420).

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

55836500 is a wasteful number, since it uses less digits than its factorization.

55836500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6605 (or 6593 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 55836500 is about 7472.3824848572. The cubic root of 55836500 is about 382.2135352096.

The spelling of 55836500 in words is "fifty-five million, eight hundred thirty-six thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 250 340 425 500 850 1700 2125 4250 6569 8500 13138 26276 32845 65690 111673 131380 164225 223346 328450 446692 558365 656900 821125 1116730 1642250 2233460 2791825 3284500 5583650 11167300 13959125 27918250 55836500