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4022476929 = 314292
BaseRepresentation
bin1110111111000010…
…0010000010000001
3101101100000000000000
43233300202002001
531214223230204
61503051350213
7201452326662
oct35760420201
911340000000
104022476929
1117846464a9
12943152369
134c1491383
142a2325369
15188215039
hexefc22081

4022476929 has 45 divisors (see below), whose sum is σ = 6248948563. Its totient is φ = 2589180552.

The previous prime is 4022476921. The next prime is 4022476943. The reversal of 4022476929 is 9296742204.

It is a happy number.

The square root of 4022476929 is 63423.

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., 2109289329 + 1913187600 = 45927^2 + 43740^2 .

It is not a de Polignac number, because 4022476929 - 23 = 4022476921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4022476921) 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 44 ways as a sum of consecutive naturals, for example, 138706087 + ... + 138706115.

Almost surely, 24022476929 is an apocalyptic number.

4022476929 is the 63423-rd square number.

4022476929 is the 31712-nd centered octagonal number.

It is an amenable number.

4022476929 is a deficient number, since it is larger than the sum of its proper divisors (2226471634).

4022476929 is an frugal number, since it uses more digits than its factorization.

4022476929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The cubic root of 4022476929 is about 1590.3688250831.

The spelling of 4022476929 in words is "four billion, twenty-two million, four hundred seventy-six thousand, nine hundred twenty-nine".

Divisors: 1 3 9 27 29 81 87 243 261 729 783 841 2187 2349 2523 6561 7047 7569 19683 21141 22707 59049 63423 68121 177147 190269 204363 531441 570807 613089 1594323 1712421 1839267 4782969 5137263 5517801 15411789 16553403 46235367 49660209 138706101 148980627 446941881 1340825643 4022476929