Search a number
-
+
450433040 = 2456318923
BaseRepresentation
bin11010110110010…
…001000000010000
31011101120100222012
4122312101000100
51410302324130
6112410202052
714106421601
oct3266210020
91141510865
10450433040
11211292012
12106a23328
137241bb35
1443b71da8
1529826995
hex1ad91010

450433040 has 40 divisors (see below), whose sum is σ = 1049034048. Its totient is φ = 179867520.

The previous prime is 450433031. The next prime is 450433043. The reversal of 450433040 is 40334054.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 450432997 and 450433015.

It is not an unprimeable number, because it can be changed into a prime (450433043) 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, 46019 + ... + 54941.

Almost surely, 2450433040 is an apocalyptic number.

450433040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450433040 is an abundant number, since it is smaller than the sum of its proper divisors (598601008).

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

450433040 is a wasteful number, since it uses less digits than its factorization.

450433040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9567 (or 9561 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 450433040 is about 21223.4078319199. The cubic root of 450433040 is about 766.5551629478. Note that the first 3 decimals are identical.

Adding to 450433040 its reverse (40334054), we get a palindrome (490767094).

The spelling of 450433040 in words is "four hundred fifty million, four hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 631 1262 2524 3155 5048 6310 8923 10096 12620 17846 25240 35692 44615 50480 71384 89230 142768 178460 356920 713840 5630413 11260826 22521652 28152065 45043304 56304130 90086608 112608260 225216520 450433040