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41204944 = 24111032273
BaseRepresentation
bin1001110100101…
…1110011010000
32212112102120001
42131023303100
541022024234
64031055344
71010144014
oct235136320
985472501
1041204944
1121293980
1211971554
1386c9131
145688544
15393dd14
hex274bcd0

41204944 has 40 divisors (see below), whose sum is σ = 87976512. Its totient is φ = 18539520.

The previous prime is 41204941. The next prime is 41204971. The reversal of 41204944 is 44940214.

41204944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41204941) 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, 16992 + ... + 19264.

Almost surely, 241204944 is an apocalyptic number.

41204944 is a gapful number since it is divisible by the number (44) 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 41204944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43988256).

41204944 is an abundant number, since it is smaller than the sum of its proper divisors (46771568).

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

41204944 is a wasteful number, since it uses less digits than its factorization.

41204944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 41204944 is about 6419.1077261563. The cubic root of 41204944 is about 345.3953152544.

The spelling of 41204944 in words is "forty-one million, two hundred four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 103 176 206 412 824 1133 1648 2266 2273 4532 4546 9064 9092 18128 18184 25003 36368 50006 100012 200024 234119 400048 468238 936476 1872952 2575309 3745904 5150618 10301236 20602472 41204944