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490274928 = 2432111329821
BaseRepresentation
bin11101001110010…
…000000001110000
31021011112112202200
4131032100001300
52001002244203
6120352143200
715102160653
oct3516200160
91234475680
10490274928
112318248a0
12118237b00
137a75b710
144918389a
152d0969a3
hex1d390070

490274928 has 240 divisors, whose sum is σ = 1669580640. Its totient is φ = 132249600.

The previous prime is 490274927. The next prime is 490274929. The reversal of 490274928 is 829472094.

490274928 is a `hidden beast` number, since 490 + 2 + 74 + 92 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (490274927) and next prime (490274929).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490274927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 596758 + ... + 597578.

It is an arithmetic number, because the mean of its divisors is an integer number (6956586).

Almost surely, 2490274928 is an apocalyptic number.

490274928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490274928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834790320).

490274928 is an abundant number, since it is smaller than the sum of its proper divisors (1179305712).

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

490274928 is a wasteful number, since it uses less digits than its factorization.

490274928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 490274928 is about 22142.1527408696. The cubic root of 490274928 is about 788.5209349701.

The spelling of 490274928 in words is "four hundred ninety million, two hundred seventy-four thousand, nine hundred twenty-eight".