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494106480 = 2435573631
BaseRepresentation
bin11101011100110…
…111011101110000
31021102202012200000
4131130313131300
52002442401410
6121010230000
715146556450
oct3534673560
91242665600
10494106480
11233a0156a
12119585300
137b4a06ca
144989dd60
152d5a1dc0
hex1d737770

494106480 has 240 divisors, whose sum is σ = 1967207424. Its totient is φ = 112907520.

The previous prime is 494106467. The next prime is 494106521. The reversal of 494106480 is 84601494.

It is a happy number.

494106480 is a `hidden beast` number, since 4 + 9 + 4 + 1 + 0 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134265 + ... + 137895.

Almost surely, 2494106480 is an apocalyptic number.

494106480 is a gapful number since it is divisible by the number (40) 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 494106480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983603712).

494106480 is an abundant number, since it is smaller than the sum of its proper divisors (1473100944).

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

494106480 is a wasteful number, since it uses less digits than its factorization.

494106480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3666 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 494106480 is about 22228.5060226728. The cubic root of 494106480 is about 790.5697326946.

The spelling of 494106480 in words is "four hundred ninety-four million, one hundred six thousand, four hundred eighty".