Search a number
-
+
41139408 = 2431979571
BaseRepresentation
bin1001110011101…
…1110011010000
32212102002122210
42130323303100
541012430113
64025432120
71006451652
oct234736320
985362583
1041139408
1121249712
121193b640
1386a535b
14566c6d2
1539296c3
hex273bcd0

41139408 has 80 divisors (see below), whose sum is σ = 113484800. Its totient is φ = 12804480.

The previous prime is 41139403. The next prime is 41139409. The reversal of 41139408 is 80493114.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41139403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71763 + ... + 72333.

It is an arithmetic number, because the mean of its divisors is an integer number (1418560).

Almost surely, 241139408 is an apocalyptic number.

41139408 is a gapful number since it is divisible by the number (48) 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 41139408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56742400).

41139408 is an abundant number, since it is smaller than the sum of its proper divisors (72345392).

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

41139408 is a wasteful number, since it uses less digits than its factorization.

41139408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 41139408 is about 6414.0009354536. Note that the first 3 decimals coincide. The cubic root of 41139408 is about 345.2121022993.

The spelling of 41139408 in words is "forty-one million, one hundred thirty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 79 114 152 158 228 237 304 316 456 474 571 632 912 948 1142 1264 1501 1713 1896 2284 3002 3426 3792 4503 4568 6004 6852 9006 9136 10849 12008 13704 18012 21698 24016 27408 32547 36024 43396 45109 65094 72048 86792 90218 130188 135327 173584 180436 260376 270654 360872 520752 541308 721744 857071 1082616 1714142 2165232 2571213 3428284 5142426 6856568 10284852 13713136 20569704 41139408