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830827557 = 3375974507
BaseRepresentation
bin110001100001010…
…110110000100101
32010220100102011000
4301201112300211
53200142440212
6214235303513
726405626530
oct6141266045
92126312130
10830827557
11396a8704a
121b22aab99
13103187751
147c4b1a17
154ce161dc
hex31856c25

830827557 has 32 divisors (see below), whose sum is σ = 1430553600. Its totient is φ = 466705584.

The previous prime is 830827499. The next prime is 830827579. The reversal of 830827557 is 755728038.

It is not a de Polignac number, because 830827557 - 222 = 826633253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830827957) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 26103 + ... + 48404.

It is an arithmetic number, because the mean of its divisors is an integer number (44704800).

Almost surely, 2830827557 is an apocalyptic number.

It is an amenable number.

830827557 is a deficient number, since it is larger than the sum of its proper divisors (599726043).

830827557 is a wasteful number, since it uses less digits than its factorization.

830827557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74582 (or 74576 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 830827557 is about 28824.0794649196. The cubic root of 830827557 is about 940.0918715849.

The spelling of 830827557 in words is "eight hundred thirty million, eight hundred twenty-seven thousand, five hundred fifty-seven".

Divisors: 1 3 7 9 21 27 59 63 177 189 413 531 1239 1593 3717 11151 74507 223521 521549 670563 1564647 2011689 4395913 4693941 13187739 14081823 30771391 39563217 92314173 118689651 276942519 830827557