Search a number
-
+
41269300 = 2252894637
BaseRepresentation
bin1001110101101…
…1100000110100
32212122200211121
42131123200310
541031104200
64032313324
71010532442
oct235334064
985580747
1041269300
1121328266
12119a2844
13871c507
1456a3b92
153952e1a
hex275b834

41269300 has 36 divisors (see below), whose sum is σ = 90580140. Its totient is φ = 16318720.

The previous prime is 41269271. The next prime is 41269301. The reversal of 41269300 is 396214.

41269300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 7420176 + 33849124 = 2724^2 + 5818^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41269301) 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 11 ways as a sum of consecutive naturals, for example, 6582 + ... + 11218.

It is an arithmetic number, because the mean of its divisors is an integer number (2516115).

Almost surely, 241269300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41269300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45290070).

41269300 is an abundant number, since it is smaller than the sum of its proper divisors (49310840).

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

41269300 is a wasteful number, since it uses less digits than its factorization.

41269300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4740 (or 4733 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 41269300 is about 6424.1186165886. The cubic root of 41269300 is about 345.5750404392.

The spelling of 41269300 in words is "forty-one million, two hundred sixty-nine thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 356 445 890 1780 2225 4450 4637 8900 9274 18548 23185 46370 92740 115925 231850 412693 463700 825386 1650772 2063465 4126930 8253860 10317325 20634650 41269300