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490678848 = 263211431801
BaseRepresentation
bin11101001111110…
…010101001000000
31021012022001211200
4131033302221000
52001103210343
6120404541200
715105462402
oct3517625100
91235261750
10490678848
11231a80310
121183b1800
137a87051a
144924ab72
152d1264d3
hex1d3f2a40

490678848 has 168 divisors, whose sum is σ = 1570853856. Its totient is φ = 145152000.

The previous prime is 490678841. The next prime is 490678901. The reversal of 490678848 is 848876094.

490678848 is a `hidden beast` number, since 490 + 6 + 78 + 84 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 490678794 and 490678803.

It is not an unprimeable number, because it can be changed into a prime (490678841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271548 + ... + 273348.

Almost surely, 2490678848 is an apocalyptic number.

490678848 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 490678848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785426928).

490678848 is an abundant number, since it is smaller than the sum of its proper divisors (1080175008).

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

490678848 is a wasteful number, since it uses less digits than its factorization.

490678848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 490678848 is about 22151.2719273634. The cubic root of 490678848 is about 788.7374202733.

The spelling of 490678848 in words is "four hundred ninety million, six hundred seventy-eight thousand, eight hundred forty-eight".