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1057745529 = 323722932
BaseRepresentation
bin111111000010111…
…110101001111001
32201201100001002100
4333002332221321
54131240324104
6252543054013
735132455131
oct7702765171
92651301070
101057745529
114a3084965
122562a1309
1313b1a7c39
14a069dac1
1562cdb139
hex3f0bea79

1057745529 has 27 divisors (see below), whose sum is σ = 1575641613. Its totient is φ = 683763552.

The previous prime is 1057745503. The next prime is 1057745573. The reversal of 1057745529 is 9255477501.

The square root of 1057745529 is 32523.

It is a perfect power (a square), and thus also a powerful number.

1057745529 is a `hidden beast` number, since 1 + 0 + 57 + 74 + 5 + 529 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 754985529 + 302760000 = 27477^2 + 17400^2 .

It is not a de Polignac number, because 1057745529 - 25 = 1057745497 is a prime.

It is a super-2 number, since 2×10577455292 = 2237651208238979682, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057745329) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 3609907 + ... + 3610199.

Almost surely, 21057745529 is an apocalyptic number.

1057745529 is the 32523-rd square number.

1057745529 is the 16262-nd centered octagonal number.

It is an amenable number.

1057745529 is a deficient number, since it is larger than the sum of its proper divisors (517896084).

1057745529 is an frugal number, since it uses more digits than its factorization.

1057745529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The cubic root of 1057745529 is about 1018.8894516268.

The spelling of 1057745529 in words is "one billion, fifty-seven million, seven hundred forty-five thousand, five hundred twenty-nine".

Divisors: 1 3 9 37 111 293 333 879 1369 2637 4107 10841 12321 32523 85849 97569 257547 401117 772641 1203351 3176413 3610053 9529239 28587717 117527281 352581843 1057745529