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494742144 = 273132331139
BaseRepresentation
bin11101011111010…
…010101010000000
31021110221111122010
4131133102222000
52003123222034
6121032012520
715155144631
oct3537225200
91243844563
10494742144
112342a6106
12119831140
137b663b40
14499c7888
152d67a3e9
hex1d7d2a80

494742144 has 256 divisors, whose sum is σ = 1535385600. Its totient is φ = 139898880.

The previous prime is 494742119. The next prime is 494742151. The reversal of 494742144 is 441247494.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3559227 + ... + 3559365.

It is an arithmetic number, because the mean of its divisors is an integer number (5997600).

Almost surely, 2494742144 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 494742144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767692800).

494742144 is an abundant number, since it is smaller than the sum of its proper divisors (1040643456).

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

494742144 is a wasteful number, since it uses less digits than its factorization.

494742144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 211 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 494742144 is about 22242.7998237632. The cubic root of 494742144 is about 790.9086079436.

The spelling of 494742144 in words is "four hundred ninety-four million, seven hundred forty-two thousand, one hundred forty-four".