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530591328 = 25322337907
BaseRepresentation
bin11111101000000…
…010111001100000
31100222101211110200
4133220002321200
52041312410303
6124352225200
716101644331
oct3750027140
91328354420
10530591328
11252561133
1212983b200
1385c06287
145067a288
15318ac3a3
hex1fa02e60

530591328 has 72 divisors (see below), whose sum is σ = 1515536568. Its totient is φ = 176082432.

The previous prime is 530591293. The next prime is 530591333. The reversal of 530591328 is 823195035.

530591328 is a `hidden beast` number, since 5 + 30 + 591 + 32 + 8 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 530591292 and 530591301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63151 + ... + 71057.

It is an arithmetic number, because the mean of its divisors is an integer number (21049119).

Almost surely, 2530591328 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 530591328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757768284).

530591328 is an abundant number, since it is smaller than the sum of its proper divisors (984945240).

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

530591328 is a wasteful number, since it uses less digits than its factorization.

530591328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8156 (or 8145 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 530591328 is about 23034.5681096911. The cubic root of 530591328 is about 809.5680916408.

The spelling of 530591328 in words is "five hundred thirty million, five hundred ninety-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 233 288 466 699 932 1398 1864 2097 2796 3728 4194 5592 7456 7907 8388 11184 15814 16776 22368 23721 31628 33552 47442 63256 67104 71163 94884 126512 142326 189768 253024 284652 379536 569304 759072 1138608 1842331 2277216 3684662 5526993 7369324 11053986 14738648 16580979 22107972 29477296 33161958 44215944 58954592 66323916 88431888 132647832 176863776 265295664 530591328