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5924842729 = 1323121912
BaseRepresentation
bin1011000010010010…
…11110110011101001
3120021220122012021121
411201021132303221
544113224431404
62415525535241
7266552221651
oct54111366351
916256565247
105924842729
112570468043
121194274521
13735642a00
14402c47361
1524a23de54
hex16125ece9

5924842729 has 27 divisors (see below), whose sum is σ = 6664180887. Its totient is φ = 5264953200.

The previous prime is 5924842723. The next prime is 5924842733. The reversal of 5924842729 is 9272484295.

The square root of 5924842729 is 76973.

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

It can be written as a sum of positive squares in only one way, i.e., 876456025 + 5048386704 = 29605^2 + 71052^2 .

It is not a de Polignac number, because 5924842729 - 211 = 5924840681 is a prime.

It is a super-2 number, since 2×59248427292 = 70207522726768334882, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5924842723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31020024 + ... + 31020214.

Almost surely, 25924842729 is an apocalyptic number.

5924842729 is the 76973-rd square number.

5924842729 is the 38487-th centered octagonal number.

It is an amenable number.

5924842729 is a deficient number, since it is larger than the sum of its proper divisors (739338158).

5924842729 is an equidigital number, since it uses as much as digits as its factorization.

5924842729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 235 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 52.

The cubic root of 5924842729 is about 1809.5014783472.

It can be divided in two parts, 592484272 and 9, that added together give a square (592484281 = 243412).

The spelling of 5924842729 in words is "five billion, nine hundred twenty-four million, eight hundred forty-two thousand, seven hundred twenty-nine".

Divisors: 1 13 31 169 191 403 961 2483 5239 5921 12493 32279 36481 76973 162409 183551 474253 1000649 1130911 2386163 6165289 14701843 31020119 35058241 191123959 455757133 5924842729