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490551552 = 283441577
BaseRepresentation
bin11101001111010…
…011100100000000
31021012001121020000
4131033103210000
52001040122202
6120402120000
715104422311
oct3517234400
91235047200
10490551552
112319a3707
12118350000
137a8275ba
1449216608
152d0ed91c
hex1d3d3900

490551552 has 180 divisors, whose sum is σ = 1501009356. Its totient is φ = 159252480.

The previous prime is 490551499. The next prime is 490551583. The reversal of 490551552 is 255155094.

490551552 is a `hidden beast` number, since 4 + 90 + 5 + 515 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 279023616 + 211527936 = 16704^2 + 14544^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 849888 + ... + 850464.

Almost surely, 2490551552 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 490551552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750504678).

490551552 is an abundant number, since it is smaller than the sum of its proper divisors (1010457804).

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

490551552 is an equidigital number, since it uses as much as digits as its factorization.

490551552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The square root of 490551552 is about 22148.3984071084. The cubic root of 490551552 is about 788.6692074271.

The spelling of 490551552 in words is "four hundred ninety million, five hundred fifty-one thousand, five hundred fifty-two".