Search a number
-
+
41269648 = 2471572347
BaseRepresentation
bin1001110101101…
…1100110010000
32212122201022111
42131123212100
541031112043
64032315104
71010533450
oct235334620
985581274
1041269648
1121328552
12119a2a94
13871c714
1456a3d60
15395309d
hex275b990

41269648 has 40 divisors (see below), whose sum is σ = 92004032. Its totient is φ = 17566848.

The previous prime is 41269643. The next prime is 41269651. The reversal of 41269648 is 84696214.

41269648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 41269648.

It is not an unprimeable number, because it can be changed into a prime (41269643) 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 7 ways as a sum of consecutive naturals, for example, 16411 + ... + 18757.

Almost surely, 241269648 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 41269648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46002016).

41269648 is an abundant number, since it is smaller than the sum of its proper divisors (50734384).

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

41269648 is a wasteful number, since it uses less digits than its factorization.

41269648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2519 (or 2513 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The square root of 41269648 is about 6424.1457019591. The cubic root of 41269648 is about 345.5760117809.

The spelling of 41269648 in words is "forty-one million, two hundred sixty-nine thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 157 314 628 1099 1256 2198 2347 2512 4396 4694 8792 9388 16429 17584 18776 32858 37552 65716 131432 262864 368479 736958 1473916 2579353 2947832 5158706 5895664 10317412 20634824 41269648