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4579634929 = 312372592
BaseRepresentation
bin1000100001111011…
…11010111011110001
3102211011101120002111
410100331322323301
533334341304204
62034233245321
7221326153222
oct42075727361
912734346074
104579634929
111a400a2561
12a79863841
1357ca3996c
14316319249
151bc0bdd04
hex110f7aef1

4579634929 has 27 divisors (see below), whose sum is σ = 4947311691. Its totient is φ = 4239036720.

The previous prime is 4579634897. The next prime is 4579634953. The reversal of 4579634929 is 9294369754.

The square root of 4579634929 is 67673.

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., 4097920225 + 481714704 = 64015^2 + 21948^2 .

It is not a de Polignac number, because 4579634929 - 25 = 4579634897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4579644929) 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, 77620902 + ... + 77620960.

Almost surely, 24579634929 is an apocalyptic number.

4579634929 is the 67673-rd square number.

4579634929 is the 33837-th centered octagonal number.

It is an amenable number.

4579634929 is a deficient number, since it is larger than the sum of its proper divisors (367676762).

4579634929 is an frugal number, since it uses more digits than its factorization.

4579634929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 127 counting only the distinct ones).

The product of its digits is 14696640, while the sum is 58.

The cubic root of 4579634929 is about 1660.6455766706.

The spelling of 4579634929 in words is "four billion, five hundred seventy-nine million, six hundred thirty-four thousand, nine hundred twenty-nine".

Divisors: 1 31 37 59 961 1147 1369 1829 2183 3481 35557 42439 56699 67673 80771 107911 128797 1315609 2097863 2503901 3345241 3992707 4765489 77620931 123773917 147730159 4579634929