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450514816 = 2731113537
BaseRepresentation
bin11010110110100…
…100111110000000
31011101201112010221
4122312210332000
51410312433231
6112412032424
714110212163
oct3266447600
91141645127
10450514816
112113384a4
12106a62714
137244a11b
1443b93ada
1529840d11
hex1ada4f80

450514816 has 32 divisors (see below), whose sum is σ = 926470080. Its totient is φ = 217989120.

The previous prime is 450514811. The next prime is 450514819. The reversal of 450514816 is 618415054.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450514811) 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, 52801 + ... + 60736.

It is an arithmetic number, because the mean of its divisors is an integer number (28952190).

Almost surely, 2450514816 is an apocalyptic number.

It is an amenable number.

450514816 is an abundant number, since it is smaller than the sum of its proper divisors (475955264).

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

450514816 is a wasteful number, since it uses less digits than its factorization.

450514816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113582 (or 113570 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 450514816 is about 21225.3342965429. The cubic root of 450514816 is about 766.6015494368.

It can be divided in two parts, 4505 and 14816, that added together give a square (19321 = 1392).

The spelling of 450514816 in words is "four hundred fifty million, five hundred fourteen thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 992 1984 3968 113537 227074 454148 908296 1816592 3519647 3633184 7039294 7266368 14078588 14532736 28157176 56314352 112628704 225257408 450514816