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494143488 = 21132171983
BaseRepresentation
bin11101011101000…
…000100000000000
31021102211002102200
4131131000200000
52003000042423
6121011113200
715150102366
oct3535004000
91242732380
10494143488
11233a27353
121195a2800
137b4b44c7
14498ad636
152d5acd43
hex1d740800

494143488 has 288 divisors, whose sum is σ = 1609826400. Its totient is φ = 145096704.

The previous prime is 494143459. The next prime is 494143501. The reversal of 494143488 is 884341494.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4941434882 = 488355573465612288, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5953495 + ... + 5953577.

It is an arithmetic number, because the mean of its divisors is an integer number (5589675).

Almost surely, 2494143488 is an apocalyptic number.

494143488 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 494143488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804913200).

494143488 is an abundant number, since it is smaller than the sum of its proper divisors (1115682912).

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

494143488 is a wasteful number, since it uses less digits than its factorization.

494143488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 124 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 494143488 is about 22229.3384516949. The cubic root of 494143488 is about 790.5894697860.

The spelling of 494143488 in words is "four hundred ninety-four million, one hundred forty-three thousand, four hundred eighty-eight".