[go: up one dir, main page]

Search a number
-
+
55730000 = 24545573
BaseRepresentation
bin1101010010010…
…1111101010000
310212212101012002
43110211331100
5103231330000
65310253132
71244461064
oct324457520
9125771162
1055730000
1129504857
12167b71a8
13b713541
147589aa4
154d5c8d5
hex3525f50

55730000 has 50 divisors (see below), whose sum is σ = 134952114. Its totient is φ = 22288000.

The previous prime is 55729991. The next prime is 55730009. The reversal of 55730000 is 3755.

55730000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55729991) and next prime (55730009).

It can be written as a sum of positive squares in 5 ways, for example, as 37650496 + 18079504 = 6136^2 + 4252^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55730009) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 7214 + ... + 12786.

Almost surely, 255730000 is an apocalyptic number.

55730000 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 55730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67476057).

55730000 is an abundant number, since it is smaller than the sum of its proper divisors (79222114).

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

55730000 is an equidigital number, since it uses as much as digits as its factorization.

55730000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5601 (or 5580 counting only the distinct ones).

The product of its (nonzero) digits is 525, while the sum is 20.

The square root of 55730000 is about 7465.2528423356. The cubic root of 55730000 is about 381.9703749766.

Adding to 55730000 its reverse (3755), we get a palindrome (55733755).

The spelling of 55730000 in words is "fifty-five million, seven hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 5573 10000 11146 22292 27865 44584 55730 89168 111460 139325 222920 278650 445840 557300 696625 1114600 1393250 2229200 2786500 3483125 5573000 6966250 11146000 13932500 27865000 55730000