Search a number
-
+
40494384 = 2433721913
BaseRepresentation
bin1001101001111…
…0010100110000
32211012022212000
42122132110300
540331310014
64003534000
71001124300
oct232362460
984168760
1040494384
1120949037
121168a300
13850a898
145541600
15384d509
hex269e530

40494384 has 120 divisors (see below), whose sum is σ = 135281520. Its totient is φ = 11563776.

The previous prime is 40494383. The next prime is 40494407. The reversal of 40494384 is 48349404.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40494383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20212 + ... + 22124.

It is an arithmetic number, because the mean of its divisors is an integer number (1127346).

Almost surely, 240494384 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 40494384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67640760).

40494384 is an abundant number, since it is smaller than the sum of its proper divisors (94787136).

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

40494384 is a wasteful number, since it uses less digits than its factorization.

40494384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 40494384 is about 6363.5197807503. The cubic root of 40494384 is about 343.3983986614.

The spelling of 40494384 in words is "forty million, four hundred ninety-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 1913 2352 2646 3024 3528 3826 5292 5739 7056 7652 10584 11478 13391 15304 17217 21168 22956 26782 30608 34434 40173 45912 51651 53564 68868 80346 91824 93737 103302 107128 120519 137736 160692 187474 206604 214256 241038 275472 281211 321384 361557 374948 413208 482076 562422 642768 723114 749896 826416 843633 964152 1124844 1446228 1499792 1687266 1928304 2249688 2530899 2892456 3374532 4499376 5061798 5784912 6749064 10123596 13498128 20247192 40494384