Search a number
-
+
454114512 = 243638933
BaseRepresentation
bin11011000100010…
…011110011010000
31011122111102000000
4123010103303100
51412223131022
6113021130000
714152624005
oct3304236320
91148442000
10454114512
11213376a55
121080b9900
137310a717
144444d8ac
1529d026ac
hex1b113cd0

454114512 has 70 divisors (see below), whose sum is σ = 1319200722. Its totient is φ = 151367616.

The previous prime is 454114487. The next prime is 454114519. The reversal of 454114512 is 215411454.

It can be written as a sum of positive squares in only one way, i.e., 235192896 + 218921616 = 15336^2 + 14796^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454114519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 7803 + ... + 31130.

Almost surely, 2454114512 is an apocalyptic number.

It is an amenable number.

454114512 is an abundant number, since it is smaller than the sum of its proper divisors (865086210).

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

454114512 is an equidigital number, since it uses as much as digits as its factorization.

454114512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38959 (or 38938 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 454114512 is about 21309.9627404648. The cubic root of 454114512 is about 768.6378977523.

Adding to 454114512 its reverse (215411454), we get a palindrome (669525966).

The spelling of 454114512 in words is "four hundred fifty-four million, one hundred fourteen thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 11664 38933 77866 116799 155732 233598 311464 350397 467196 622928 700794 934392 1051191 1401588 1868784 2102382 2803176 3153573 4204764 5606352 6307146 8409528 9460719 12614292 16819056 18921438 25228584 28382157 37842876 50457168 56764314 75685752 113528628 151371504 227057256 454114512