Search a number
-
+
450970384 = 2423253281
BaseRepresentation
bin11010111000010…
…100001100010000
31011102120200001211
4122320110030100
51410422023014
6112425505504
714114120314
oct3270241420
91142520054
10450970384
112116197a7
12107042294
13725795a7
1443c71b44
15298d0cc4
hex1ae14310

450970384 has 30 divisors (see below), whose sum is σ = 913413326. Its totient is φ = 215677440.

The previous prime is 450970343. The next prime is 450970391. The reversal of 450970384 is 483079054.

It can be written as a sum of positive squares in only one way, i.e., 391248400 + 59721984 = 19780^2 + 7728^2 .

It is a super-4 number, since 4×4509703844 (a number of 36 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18177 + ... + 35104.

Almost surely, 2450970384 is an apocalyptic number.

It is an amenable number.

450970384 is an abundant number, since it is smaller than the sum of its proper divisors (462442942).

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

450970384 is a wasteful number, since it uses less digits than its factorization.

450970384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53335 (or 53306 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 450970384 is about 21236.0632886606. The cubic root of 450970384 is about 766.8598624228.

The spelling of 450970384 in words is "four hundred fifty million, nine hundred seventy thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 23 46 92 184 368 529 1058 2116 4232 8464 53281 106562 213124 426248 852496 1225463 2450926 4901852 9803704 19607408 28185649 56371298 112742596 225485192 450970384