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498010968 = 2332713292621
BaseRepresentation
bin11101101011110…
…000101101011000
31021201002120121200
4131223300231120
52004442322333
6121230034200
715225011010
oct3553605530
91251076550
10498010968
11236129014
1211a948960
137c239960
144a1d8c40
152dac3c13
hex1daf0b58

498010968 has 192 divisors, whose sum is σ = 1717934400. Its totient is φ = 126766080.

The previous prime is 498010963. The next prime is 498011021. The reversal of 498010968 is 869010894.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498010963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188698 + ... + 191318.

It is an arithmetic number, because the mean of its divisors is an integer number (8947575).

Almost surely, 2498010968 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 498010968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858967200).

498010968 is an abundant number, since it is smaller than the sum of its proper divisors (1219923432).

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

498010968 is a wasteful number, since it uses less digits than its factorization.

498010968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 498010968 is about 22316.1593469844. The cubic root of 498010968 is about 792.6466634724.

The spelling of 498010968 in words is "four hundred ninety-eight million, ten thousand, nine hundred sixty-eight".