[go: up one dir, main page]

Search a number
-
+
5041000 = 2353712
BaseRepresentation
bin10011001110101101101000
3100111002221201
4103032231220
52242303000
6300013544
760563536
oct23165550
910432851
105041000
112933418
1218312b4
131076653
14953156
1569896a
hex4ceb68

5041000 has 48 divisors (see below), whose sum is σ = 11964420. Its totient is φ = 1988000.

The previous prime is 5040961. The next prime is 5041007. The reversal of 5041000 is 1405.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 3407716 + 1633284 = 1846^2 + 1278^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (5041007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70965 + ... + 71035.

Almost surely, 25041000 is an apocalyptic number.

5041000 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 5041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5982210).

5041000 is an abundant number, since it is smaller than the sum of its proper divisors (6923420).

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

5041000 is an equidigital number, since it uses as much as digits as its factorization.

5041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 5041000 is about 2245.2171387195. The cubic root of 5041000 is about 171.4637163394.

Multiplying 5041000 by its sum of digits (10), we get a square (50410000 = 71002).

5041000 divided by its sum of digits (10) gives a square (504100 = 7102).

Adding to 5041000 its reverse (1405), we get a palindrome (5042405).

The spelling of 5041000 in words is "five million, forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 125 142 200 250 284 355 500 568 710 1000 1420 1775 2840 3550 5041 7100 8875 10082 14200 17750 20164 25205 35500 40328 50410 71000 100820 126025 201640 252050 504100 630125 1008200 1260250 2520500 5041000