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41890448 = 2417337457
BaseRepresentation
bin1001111111001…
…1001010010000
32220211020220002
42133303022100
541210443243
64053505132
71016030405
oct237631220
986736802
1041890448
1121711a06
12120421a8
1388a9162
1457c62ac
153a26eb8
hex27f3290

41890448 has 40 divisors (see below), whose sum is σ = 86380632. Its totient is φ = 19611648.

The previous prime is 41890441. The next prime is 41890483. The reversal of 41890448 is 84409814.

41890448 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 4 ways, for example, as 14348944 + 27541504 = 3788^2 + 5248^2 .

It is not an unprimeable number, because it can be changed into a prime (41890441) 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, 91436 + ... + 91892.

Almost surely, 241890448 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 41890448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43190316).

41890448 is an abundant number, since it is smaller than the sum of its proper divisors (44490184).

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

41890448 is a wasteful number, since it uses less digits than its factorization.

41890448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 41890448 is about 6472.2830593230. The cubic root of 41890448 is about 347.3001746100.

The spelling of 41890448 in words is "forty-one million, eight hundred ninety thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 337 457 674 914 1348 1828 2696 3656 5392 5729 7312 7769 11458 15538 22916 31076 45832 62152 91664 124304 154009 308018 616036 1232072 2464144 2618153 5236306 10472612 20945224 41890448