Search a number
-
+
41904000 = 27335397
BaseRepresentation
bin1001111111011…
…0011110000000
32220211221111000
42133312132000
541211412000
64054052000
71016115045
oct237663600
986757430
1041904000
1121721106
121204a000
1388b2388
1457cb1cc
153a2b000
hex27f6780

41904000 has 256 divisors, whose sum is σ = 155937600. Its totient is φ = 11059200.

The previous prime is 41903993. The next prime is 41904001. The reversal of 41904000 is 40914.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41904001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431952 + ... + 432048.

Almost surely, 241904000 is an apocalyptic number.

41904000 is a gapful number since it is divisible by the number (40) 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 41904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77968800).

41904000 is an abundant number, since it is smaller than the sum of its proper divisors (114033600).

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

41904000 is an equidigital number, since it uses as much as digits as its factorization.

41904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 41904000 is about 6473.3299004454. The cubic root of 41904000 is about 347.3376223237.

Adding to 41904000 its reverse (40914), we get a palindrome (41944914).

The spelling of 41904000 in words is "forty-one million, nine hundred four thousand".