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1058430528 = 26321939521
BaseRepresentation
bin111111000101100…
…101111001000000
32201202121211201200
4333011211321000
54131424234103
6253005501200
735141340201
oct7705457100
92652554650
101058430528
114a3502581
12256571800
1313b38796c
14a07db5a8
1562dc40a3
hex3f165e40

1058430528 has 84 divisors (see below), whose sum is σ = 3049839468. Its totient is φ = 350945280.

The previous prime is 1058430521. The next prime is 1058430671. The reversal of 1058430528 is 8250348501.

It is a happy number.

1058430528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 357663744 + 700766784 = 18912^2 + 26472^2 .

It is a super-3 number, since 3×10584305283 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 1058430492 and 1058430501.

It is not an unprimeable number, because it can be changed into a prime (1058430521) 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, 106408 + ... + 115928.

Almost surely, 21058430528 is an apocalyptic number.

1058430528 is a gapful number since it is divisible by the number (18) 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 1058430528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524919734).

1058430528 is an abundant number, since it is smaller than the sum of its proper divisors (1991408940).

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

1058430528 is a wasteful number, since it uses less digits than its factorization.

1058430528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9732 (or 9719 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1058430528 is about 32533.5292890273. The cubic root of 1058430528 is about 1019.1093493962.

The spelling of 1058430528 in words is "one billion, fifty-eight million, four hundred thirty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 193 288 386 576 579 772 1158 1544 1737 2316 3088 3474 4632 6176 6948 9264 9521 12352 13896 18528 19042 27792 28563 37056 38084 55584 57126 76168 85689 111168 114252 152336 171378 228504 304672 342756 457008 609344 685512 914016 1371024 1828032 1837553 2742048 3675106 5484096 5512659 7350212 11025318 14700424 16537977 22050636 29400848 33075954 44101272 58801696 66151908 88202544 117603392 132303816 176405088 264607632 352810176 529215264 1058430528