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450626048 = 293312659
BaseRepresentation
bin11010110111000…
…000001000000000
31011101221011201122
4122313000020000
51410330013143
6112414251412
714111154365
oct3267001000
91141834648
10450626048
11211404024
12106ab6b68
1372488942
1443bc246c
1529863c68
hex1adc0200

450626048 has 40 divisors (see below), whose sum is σ = 903431760. Its totient is φ = 224547840.

The previous prime is 450626047. The next prime is 450626053. The reversal of 450626048 is 840626054.

It is a junction number, because it is equal to n+sod(n) for n = 450625999 and 450626017.

It is not an unprimeable number, because it can be changed into a prime (450626047) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 168143 + ... + 170801.

It is an arithmetic number, because the mean of its divisors is an integer number (22585794).

Almost surely, 2450626048 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 450626048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451715880).

450626048 is an abundant number, since it is smaller than the sum of its proper divisors (452805712).

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

450626048 is an equidigital number, since it uses as much as digits as its factorization.

450626048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 450626048 is about 21227.9543998003. The cubic root of 450626048 is about 766.6646354914.

The spelling of 450626048 in words is "four hundred fifty million, six hundred twenty-six thousand, forty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 331 512 662 1324 2648 2659 5296 5318 10592 10636 21184 21272 42368 42544 84736 85088 169472 170176 340352 680704 880129 1361408 1760258 3520516 7041032 14082064 28164128 56328256 112656512 225313024 450626048