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498518064 = 2434113172
BaseRepresentation
bin11101101101101…
…100100000110000
31021202001100020000
4131231230200300
52010110034224
6121244550000
715232222302
oct3555544060
91252040200
10498518064
11236445000
1211ab52300
137c386705
144a2cb972
152db740c9
hex1db6c830

498518064 has 300 divisors, whose sum is σ = 1685879448. Its totient is φ = 142179840.

The previous prime is 498518039. The next prime is 498518113. The reversal of 498518064 is 460815894.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 29324584 + ... + 29324600.

Almost surely, 2498518064 is an apocalyptic number.

498518064 is a gapful number since it is divisible by the number (44) 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 498518064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842939724).

498518064 is an abundant number, since it is smaller than the sum of its proper divisors (1187361384).

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

498518064 is a wasteful number, since it uses less digits than its factorization.

498518064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 498518064 is about 22327.5180886726. The cubic root of 498518064 is about 792.9156077517.

The spelling of 498518064 in words is "four hundred ninety-eight million, five hundred eighteen thousand, sixty-four".