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534648816 = 243313313783
BaseRepresentation
bin11111110111100…
…001011111110000
31101021000222022000
4133313201133300
52043332230231
6125015214000
716151303622
oct3767413760
91337028260
10534648816
11254882629
1212b077300
13869c7060
1451014c12
1531e0e6e6
hex1fde17f0

534648816 has 320 divisors, whose sum is σ = 1773219840. Its totient is φ = 153031680.

The previous prime is 534648773. The next prime is 534648833. The reversal of 534648816 is 618846435.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6441511 + ... + 6441593.

It is an arithmetic number, because the mean of its divisors is an integer number (5541312).

Almost surely, 2534648816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534648816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886609920).

534648816 is an abundant number, since it is smaller than the sum of its proper divisors (1238571024).

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

534648816 is a wasteful number, since it uses less digits than its factorization.

534648816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 169 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 534648816 is about 23122.4742620681. The cubic root of 534648816 is about 811.6264712463.

The spelling of 534648816 in words is "five hundred thirty-four million, six hundred forty-eight thousand, eight hundred sixteen".