Search a number
-
+
41093728 = 2513173571
BaseRepresentation
bin1001110011000…
…0101001100000
32212022202222221
42130300221200
541004444403
64024440424
71006201534
oct234605140
985282887
1041093728
1121218365
1211919114
13868a620
145659bc4
15391adbd
hex2730a60

41093728 has 48 divisors (see below), whose sum is σ = 87783696. Its totient is φ = 18823680.

The previous prime is 41093719. The next prime is 41093729. The reversal of 41093728 is 82739014.

It is a junction number, because it is equal to n+sod(n) for n = 41093693 and 41093702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41093729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71683 + ... + 72253.

It is an arithmetic number, because the mean of its divisors is an integer number (1828827).

Almost surely, 241093728 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 41093728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43891848).

41093728 is an abundant number, since it is smaller than the sum of its proper divisors (46689968).

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

41093728 is a wasteful number, since it uses less digits than its factorization.

41093728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 41093728 is about 6410.4389865281. The cubic root of 41093728 is about 345.0842838255.

The spelling of 41093728 in words is "forty-one million, ninety-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 173 208 346 416 571 692 1142 1384 2249 2284 2768 4498 4568 5536 7423 8996 9136 14846 17992 18272 29692 35984 59384 71968 98783 118768 197566 237536 395132 790264 1284179 1580528 2568358 3161056 5136716 10273432 20546864 41093728