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530746848 = 25326130211
BaseRepresentation
bin11111101000101…
…000110111100000
31100222200201210200
4133220220313200
52041332344343
6124355425200
716103162622
oct3750506740
91328621720
10530746848
11252657a65
121298b5200
1385c5bcb8
14506bac12
15318dd4d3
hex1fa28de0

530746848 has 72 divisors (see below), whose sum is σ = 1534104936. Its totient is φ = 174009600.

The previous prime is 530746841. The next prime is 530746859. The reversal of 530746848 is 848647035.

530746848 is a `hidden beast` number, since 530 + 74 + 6 + 8 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530746841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2463 + ... + 32673.

It is an arithmetic number, because the mean of its divisors is an integer number (21307013).

Almost surely, 2530746848 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 530746848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767052468).

530746848 is an abundant number, since it is smaller than the sum of its proper divisors (1003358088).

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

530746848 is a wasteful number, since it uses less digits than its factorization.

530746848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30288 (or 30277 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 530746848 is about 23037.9436582348. The cubic root of 530746848 is about 809.6471805892.

The spelling of 530746848 in words is "five hundred thirty million, seven hundred forty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 244 288 366 488 549 732 976 1098 1464 1952 2196 2928 4392 5856 8784 17568 30211 60422 90633 120844 181266 241688 271899 362532 483376 543798 725064 966752 1087596 1450128 1842871 2175192 2900256 3685742 4350384 5528613 7371484 8700768 11057226 14742968 16585839 22114452 29485936 33171678 44228904 58971872 66343356 88457808 132686712 176915616 265373424 530746848