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382727488 = 261113193171
BaseRepresentation
bin10110110011111…
…111010101000000
3222200011120102011
4112303333111000
51240434234423
6101551102304
712325062403
oct2663772500
9880146364
10382727488
11187048910
12a8211994
13613a4790
1438b89d3a
1523900b0d
hex16cff540

382727488 has 224 divisors, whose sum is σ = 983162880. Its totient is φ = 145152000.

The previous prime is 382727483. The next prime is 382727489. The reversal of 382727488 is 884727283.

382727488 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (1204224) is a multiple of the sum of its prime divisors (147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382727483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5390493 + ... + 5390563.

It is an arithmetic number, because the mean of its divisors is an integer number (4389120).

Almost surely, 2382727488 is an apocalyptic number.

382727488 is a gapful number since it is divisible by the number (38) 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 382727488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491581440).

382727488 is an abundant number, since it is smaller than the sum of its proper divisors (600435392).

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

382727488 is a wasteful number, since it uses less digits than its factorization.

382727488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 147 counting only the distinct ones).

The product of its digits is 1204224, while the sum is 49.

The square root of 382727488 is about 19563.4221955158. The cubic root of 382727488 is about 726.0444639824.

The spelling of 382727488 in words is "three hundred eighty-two million, seven hundred twenty-seven thousand, four hundred eighty-eight".