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450322432 = 21377853
BaseRepresentation
bin11010110101110…
…110000000000000
31011101100202020121
4122311312000000
51410240304212
6112403550024
714105451250
oct3265660000
91141322217
10450322432
112112169aa
1210698b314
13723b06a1
1443b43960
1529803d07
hex1ad76000

450322432 has 56 divisors (see below), whose sum is σ = 1029376656. Its totient is φ = 192970752.

The previous prime is 450322427. The next prime is 450322441. The reversal of 450322432 is 234223054.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 450322397 and 450322406.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 53418 + ... + 61270.

It is an arithmetic number, because the mean of its divisors is an integer number (18381726).

Almost surely, 2450322432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450322432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514688328).

450322432 is an abundant number, since it is smaller than the sum of its proper divisors (579054224).

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

450322432 is an frugal number, since it uses more digits than its factorization.

450322432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7886 (or 7862 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 450322432 is about 21220.8018698634. The cubic root of 450322432 is about 766.4924129073.

Adding to 450322432 its reverse (234223054), we get a palindrome (684545486).

The spelling of 450322432 in words is "four hundred fifty million, three hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 3584 4096 7168 7853 8192 14336 15706 28672 31412 54971 57344 62824 109942 125648 219884 251296 439768 502592 879536 1005184 1759072 2010368 3518144 4020736 7036288 8041472 14072576 16082944 28145152 32165888 56290304 64331776 112580608 225161216 450322432