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487084752 = 24357111627
BaseRepresentation
bin11101000010000…
…101001011010000
31020221112110200000
4131002011023100
51444143203002
6120155530000
715033103110
oct3502051320
91227473600
10487084752
1122aa45a90
12117159900
1379bb263b
1448993040
152cb6661c
hex1d0852d0

487084752 has 240 divisors, whose sum is σ = 1763553792. Its totient is φ = 126437760.

The previous prime is 487084733. The next prime is 487084769. The reversal of 487084752 is 257480784.

It is a junction number, because it is equal to n+sod(n) for n = 487084698 and 487084707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 298563 + ... + 300189.

Almost surely, 2487084752 is an apocalyptic number.

487084752 is a gapful number since it is divisible by the number (42) 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 487084752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881776896).

487084752 is an abundant number, since it is smaller than the sum of its proper divisors (1276469040).

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

487084752 is a wasteful number, since it uses less digits than its factorization.

487084752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 487084752 is about 22069.9966470319. The cubic root of 487084752 is about 786.8069330783.

The spelling of 487084752 in words is "four hundred eighty-seven million, eighty-four thousand, seven hundred fifty-two".