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491153040 = 2432571923223
BaseRepresentation
bin11101010001100…
…110011010010000
31021020012011022100
4131101212122100
52001213344130
6120423040400
715112506030
oct3521463220
91236164270
10491153040
11232274604
121185a0100
137a9a8301
14493318c0
152d1bbc60
hex1d466690

491153040 has 480 divisors, whose sum is σ = 2079866880. Its totient is φ = 101274624.

The previous prime is 491153023. The next prime is 491153053. The reversal of 491153040 is 40351194.

491153040 is a `hidden beast` number, since 4 + 91 + 1 + 530 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 491152995 and 491153013.

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 95 ways as a sum of consecutive naturals, for example, 2202369 + ... + 2202591.

It is an arithmetic number, because the mean of its divisors is an integer number (4333056).

Almost surely, 2491153040 is an apocalyptic number.

491153040 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 491153040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039933440).

491153040 is an abundant number, since it is smaller than the sum of its proper divisors (1588713840).

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

491153040 is a wasteful number, since it uses less digits than its factorization.

491153040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 491153040 is about 22161.9728363700. The cubic root of 491153040 is about 788.9914170636.

The spelling of 491153040 in words is "four hundred ninety-one million, one hundred fifty-three thousand, forty".