Search a number
-
+
440252040 = 233519193093
BaseRepresentation
bin11010001111011…
…011011010001000
31010200102010021010
4122033123122020
51400201031130
6111404043520
713624036434
oct3217333210
91120363233
10440252040
11206568968
121035335a0
1370295a87
14426819c4
15289b50b0
hex1a3db688

440252040 has 64 divisors (see below), whose sum is σ = 1390276800. Its totient is φ = 111220992.

The previous prime is 440252027. The next prime is 440252047. The reversal of 440252040 is 40252044.

It is a junction number, because it is equal to n+sod(n) for n = 440251998 and 440252016.

It is not an unprimeable number, because it can be changed into a prime (440252047) 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, 94267 + ... + 98826.

It is an arithmetic number, because the mean of its divisors is an integer number (21723075).

Almost surely, 2440252040 is an apocalyptic number.

440252040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440252040 is an abundant number, since it is smaller than the sum of its proper divisors (950024760).

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

440252040 is a wasteful number, since it uses less digits than its factorization.

440252040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193126 (or 193122 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 440252040 is about 20982.1838710845. The cubic root of 440252040 is about 760.7356911192.

The spelling of 440252040 in words is "four hundred forty million, two hundred fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 193093 386186 579279 772372 965465 1158558 1544744 1930930 2317116 2896395 3668767 3861860 4634232 5792790 7337534 7723720 11006301 11585580 14675068 18343835 22012602 23171160 29350136 36687670 44025204 55031505 73375340 88050408 110063010 146750680 220126020 440252040