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500989632 = 263111371257
BaseRepresentation
bin11101110111000…
…111111011000000
31021220200220120120
4131313013323000
52011223132012
6121413540240
715262225113
oct3567077300
91256626516
10500989632
11237882a20
1211b944680
137ca40690
144a77257a
152deb158c
hex1ddc7ec0

500989632 has 224 divisors, whose sum is σ = 1585350144. Its totient is φ = 137625600.

The previous prime is 500989597. The next prime is 500989637. The reversal of 500989632 is 236989005.

It is a super-2 number, since 2×5009896322 = 501981222742990848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (500989637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1949248 + ... + 1949504.

It is an arithmetic number, because the mean of its divisors is an integer number (7077456).

Almost surely, 2500989632 is an apocalyptic number.

500989632 is a gapful number since it is divisible by the number (52) 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 500989632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792675072).

500989632 is an abundant number, since it is smaller than the sum of its proper divisors (1084360512).

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

500989632 is a wasteful number, since it uses less digits than its factorization.

500989632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 500989632 is about 22382.7976803616. The cubic root of 500989632 is about 794.2238285105.

The spelling of 500989632 in words is "five hundred million, nine hundred eighty-nine thousand, six hundred thirty-two".