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450944128 = 2711331177
BaseRepresentation
bin11010111000001…
…101110010000000
31011102112100001101
4122320031302000
51410420203003
6112425144144
714113650625
oct3270156200
91142470041
10450944128
11211600aa8
1210702b054
137256a65b
1443c6634c
15298c811d
hex1ae0dc80

450944128 has 32 divisors (see below), whose sum is σ = 906344460. Its totient is φ = 223469568.

The previous prime is 450944101. The next prime is 450944129. The reversal of 450944128 is 821449054.

It can be written as a sum of positive squares in 2 ways, for example, as 435640384 + 15303744 = 20872^2 + 3912^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (450944129) 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, 1125 + ... + 30052.

Almost surely, 2450944128 is an apocalyptic number.

It is an amenable number.

450944128 is an abundant number, since it is smaller than the sum of its proper divisors (455400332).

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

450944128 is a wasteful number, since it uses less digits than its factorization.

450944128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31304 (or 31292 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 450944128 is about 21235.4450859877. The cubic root of 450944128 is about 766.8449796544.

The spelling of 450944128 in words is "four hundred fifty million, nine hundred forty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 113 128 226 452 904 1808 3616 7232 14464 31177 62354 124708 249416 498832 997664 1995328 3523001 3990656 7046002 14092004 28184008 56368016 112736032 225472064 450944128