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41945000 = 23548389
BaseRepresentation
bin1010000000000…
…0011110101000
32220221000201112
42200000132220
541214220000
64055005452
71016345426
oct240003650
986830645
1041945000
1121749999
1212069888
1388c7c36
1457dc116
153a38235
hex28007a8

41945000 has 40 divisors (see below), whose sum is σ = 98288850. Its totient is φ = 16776000.

The previous prime is 41944993. The next prime is 41945039. The reversal of 41945000 is 54914.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 4024036 + 37920964 = 2006^2 + 6158^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 806 + ... + 9194.

Almost surely, 241945000 is an apocalyptic number.

41945000 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 41945000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49144425).

41945000 is an abundant number, since it is smaller than the sum of its proper divisors (56343850).

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

41945000 is an equidigital number, since it uses as much as digits as its factorization.

41945000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8415 (or 8396 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 41945000 is about 6476.4959661842. The cubic root of 41945000 is about 347.4508668867.

Adding to 41945000 its reverse (54914), we get a palindrome (41999914).

The spelling of 41945000 in words is "forty-one million, nine hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 8389 16778 33556 41945 67112 83890 167780 209725 335560 419450 838900 1048625 1677800 2097250 4194500 5243125 8389000 10486250 20972500 41945000