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530979328 = 2911293251
BaseRepresentation
bin11111101001100…
…001101000000000
31101000010112201001
4133221201220000
52041412314303
6124404421344
716105151455
oct3751415000
91330115631
10530979328
112527a66a0
121299a7854
1386010a69
145073b82c
153193731d
hex1fa61a00

530979328 has 80 divisors (see below), whose sum is σ = 1197646560. Its totient is φ = 232960000.

The previous prime is 530979307. The next prime is 530979329. The reversal of 530979328 is 823979035.

It is not an unprimeable number, because it can be changed into a prime (530979329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161703 + ... + 164953.

It is an arithmetic number, because the mean of its divisors is an integer number (14970582).

Almost surely, 2530979328 is an apocalyptic number.

530979328 is a gapful number since it is divisible by the number (58) 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 530979328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598823280).

530979328 is an abundant number, since it is smaller than the sum of its proper divisors (666667232).

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

530979328 is a wasteful number, since it uses less digits than its factorization.

530979328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3309 (or 3293 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 46.

The square root of 530979328 is about 23042.9886950456. The cubic root of 530979328 is about 809.7653783712.

The spelling of 530979328 in words is "five hundred thirty million, nine hundred seventy-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 128 176 232 256 319 352 464 512 638 704 928 1276 1408 1856 2552 2816 3251 3712 5104 5632 6502 7424 10208 13004 14848 20416 26008 35761 40832 52016 71522 81664 94279 104032 143044 163328 188558 208064 286088 377116 416128 572176 754232 832256 1037069 1144352 1508464 1664512 2074138 2288704 3016928 4148276 4577408 6033856 8296552 9154816 12067712 16593104 18309632 24135424 33186208 48270848 66372416 132744832 265489664 530979328