Search a number
-
+
450320352 = 25329161753
BaseRepresentation
bin11010110101110…
…101011111100000
31011101100122101120
4122311311133200
51410240222402
6112403532240
714105442216
oct3265653740
91141318346
10450320352
11211215389
1210698a080
13723ac761
1443b42cb6
15298033bc
hex1ad757e0

450320352 has 48 divisors (see below), whose sum is σ = 1222860240. Its totient is φ = 144929792.

The previous prime is 450320329. The next prime is 450320357. The reversal of 450320352 is 253023054.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450320357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78093 + ... + 83660.

It is an arithmetic number, because the mean of its divisors is an integer number (25476255).

Almost surely, 2450320352 is an apocalyptic number.

It is an amenable number.

450320352 is an abundant number, since it is smaller than the sum of its proper divisors (772539888).

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

450320352 is a wasteful number, since it uses less digits than its factorization.

450320352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161795 (or 161787 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 450320352 is about 21220.7528612912. The cubic root of 450320352 is about 766.4912327849.

The spelling of 450320352 in words is "four hundred fifty million, three hundred twenty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 161753 323506 485259 647012 970518 1294024 1941036 2588048 3882072 4690837 5176096 7764144 9381674 14072511 15528288 18763348 28145022 37526696 56290044 75053392 112580088 150106784 225160176 450320352