Search a number
-
+
440531040 = 2535917773
BaseRepresentation
bin11010010000011…
…111100001100000
31010200221021222110
4122100133201200
51400233443130
6111414035320
713626311025
oct3220374140
91120837873
10440531040
11206739544
12103648b40
1370362a71
144271554c
1528a1cab0
hex1a41f860

440531040 has 48 divisors (see below), whose sum is σ = 1387674288. Its totient is φ = 117474816.

The previous prime is 440531027. The next prime is 440531041. The reversal of 440531040 is 40135044.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 440530998 and 440531016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440531041) 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, 458407 + ... + 459366.

It is an arithmetic number, because the mean of its divisors is an integer number (28909881).

Almost surely, 2440531040 is an apocalyptic number.

440531040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440531040 is an abundant number, since it is smaller than the sum of its proper divisors (947143248).

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

440531040 is a wasteful number, since it uses less digits than its factorization.

440531040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917791 (or 917783 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 440531040 is about 20988.8313157260. The cubic root of 440531040 is about 760.8963569947.

Adding to 440531040 its reverse (40135044), we get a palindrome (480666084).

The spelling of 440531040 in words is "four hundred forty million, five hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 917773 1835546 2753319 3671092 4588865 5506638 7342184 9177730 11013276 13766595 14684368 18355460 22026552 27533190 29368736 36710920 44053104 55066380 73421840 88106208 110132760 146843680 220265520 440531040