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490209920 = 275765953
BaseRepresentation
bin11101001110000…
…000001010000000
31021011102020120222
4131032000022000
52000443204140
6120350522212
715101500304
oct3516001200
91234366528
10490209920
1123178aa72
12118206368
137a737c55
1449167d04
152d0825b5
hex1d380280

490209920 has 32 divisors (see below), whose sum is σ = 1171909620. Its totient is φ = 196083712.

The previous prime is 490209917. The next prime is 490209983. The reversal of 490209920 is 29902094.

It can be written as a sum of positive squares in 2 ways, for example, as 460703296 + 29506624 = 21464^2 + 5432^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 382337 + ... + 383616.

Almost surely, 2490209920 is an apocalyptic number.

490209920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

490209920 is an abundant number, since it is smaller than the sum of its proper divisors (681699700).

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

490209920 is an equidigital number, since it uses as much as digits as its factorization.

490209920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765972 (or 765960 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 490209920 is about 22140.6847229258. The cubic root of 490209920 is about 788.4860821207.

The spelling of 490209920 in words is "four hundred ninety million, two hundred nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 765953 1531906 3063812 3829765 6127624 7659530 12255248 15319060 24510496 30638120 49020992 61276240 98041984 122552480 245104960 490209920