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450906920 = 23511272673
BaseRepresentation
bin11010111000000…
…100101100101000
31011102110110000022
4122320010230220
51410413010140
6112424300012
714113434302
oct3270045450
91142413008
10450906920
11211586052
12107011608
1372556739
1443c56972
15298bc0b5
hex1ae04b28

450906920 has 16 divisors (see below), whose sum is σ = 1014540660. Its totient is φ = 180362752.

The previous prime is 450906913. The next prime is 450906923. The reversal of 450906920 is 29609054.

It can be written as a sum of positive squares in 2 ways, for example, as 403929604 + 46977316 = 20098^2 + 6854^2 .

It is not an unprimeable number, because it can be changed into a prime (450906923) 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, 5636297 + ... + 5636376.

Almost surely, 2450906920 is an apocalyptic number.

450906920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450906920 is an abundant number, since it is smaller than the sum of its proper divisors (563633740).

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

450906920 is a wasteful number, since it uses less digits than its factorization.

450906920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11272684 (or 11272680 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 450906920 is about 21234.5689855010. The cubic root of 450906920 is about 766.8238879411.

The spelling of 450906920 in words is "four hundred fifty million, nine hundred six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 11272673 22545346 45090692 56363365 90181384 112726730 225453460 450906920