Search a number
-
+
541336208 = 24715132009
BaseRepresentation
bin100000010001000…
…010001010010000
31101201121201200012
4200101002022100
52102040224313
6125414414052
716262165450
oct4021021220
91351551605
10541336208
1125862a9a6
12131361328
13881c8baa
1451c75d60
15327d0da8
hex20442290

541336208 has 40 divisors (see below), whose sum is σ = 1206648960. Its totient is φ = 230457600.

The previous prime is 541336153. The next prime is 541336217. The reversal of 541336208 is 802633145.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 908 + ... + 32916.

It is an arithmetic number, because the mean of its divisors is an integer number (30166224).

Almost surely, 2541336208 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 541336208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603324480).

541336208 is an abundant number, since it is smaller than the sum of its proper divisors (665312752).

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

541336208 is a wasteful number, since it uses less digits than its factorization.

541336208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32175 (or 32169 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 541336208 is about 23266.6329321627. The cubic root of 541336208 is about 814.9964033113.

The spelling of 541336208 in words is "five hundred forty-one million, three hundred thirty-six thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 151 302 604 1057 1208 2114 2416 4228 8456 16912 32009 64018 128036 224063 256072 448126 512144 896252 1792504 3585008 4833359 9666718 19333436 33833513 38666872 67667026 77333744 135334052 270668104 541336208