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491774976 = 2103472112
BaseRepresentation
bin11101010011111…
…110010000000000
31021021100202110000
4131103332100000
52001343244401
6120444240000
715121006200
oct3523762000
91237322400
10491774976
11232659900
12118840000
137ab65414
1449454400
152d291186
hex1d4fe400

491774976 has 495 divisors, whose sum is σ = 1877715147. Its totient is φ = 127733760.

The previous prime is 491774909. The next prime is 491774989. The reversal of 491774976 is 679477194.

The square root of 491774976 is 22176.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 44706811 + ... + 44706821.

Almost surely, 2491774976 is an apocalyptic number.

491774976 is the 22176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 491774976

491774976 is an abundant number, since it is smaller than the sum of its proper divisors (1385940171).

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

491774976 is a wasteful number, since it uses less digits than its factorization.

491774976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 23 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The cubic root of 491774976 is about 789.3243039305.

The spelling of 491774976 in words is "four hundred ninety-one million, seven hundred seventy-four thousand, nine hundred seventy-six".