Search a number
-
+
4299293761 = 72172192292
BaseRepresentation
bin1000000000100001…
…00000010001000001
3102002121212202022021
410000100200101001
532301104400021
61550340441441
7211353252100
oct40020402101
912077782267
104299293761
111906926044
129bb9a9281
13536932c09
142cadc2037
151a2694c41
hex100420441

4299293761 has 81 divisors (see below), whose sum is σ = 5807060649. Its totient is φ = 3172490496.

The previous prime is 4299293749. The next prime is 4299293771. The reversal of 4299293761 is 1673929924.

It is a happy number.

The square root of 4299293761 is 65569.

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

It can be written as a sum of positive squares in 4 ways, for example, as 424978225 + 3874315536 = 20615^2 + 62244^2 .

It is not a de Polignac number, because 4299293761 - 25 = 4299293729 is a prime.

Its product of digits (1469664) is a multiple of the sum of its prime divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 4299293699 and 4299293708.

It is not an unprimeable number, because it can be changed into a prime (4299293771) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 148251495 + ... + 148251523.

Almost surely, 24299293761 is an apocalyptic number.

4299293761 is the 65569-th square number.

4299293761 is the 32785-th centered octagonal number.

It is an amenable number.

4299293761 is a deficient number, since it is larger than the sum of its proper divisors (1507766888).

4299293761 is a wasteful number, since it uses less digits than its factorization.

4299293761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 72 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 52.

The cubic root of 4299293761 is about 1626.0443005429.

The spelling of 4299293761 in words is "four billion, two hundred ninety-nine million, two hundred ninety-three thousand, seven hundred sixty-one".

Divisors: 1 7 17 19 29 49 119 133 203 289 323 361 493 551 833 841 931 1421 2023 2261 2527 3451 3857 5491 5887 6137 8381 9367 10469 14161 14297 15827 15979 17689 24157 26999 38437 41209 42959 58667 65569 73283 100079 104329 111853 159239 177973 243049 269059 271643 300713 303601 410669 458983 512981 700553 730303 782971 1114673 1245811 1701343 1901501 2125207 3025541 4617931 5112121 5161217 7802711 8720677 11909401 13310507 14876449 21178787 32325517 36128519 87740689 148251509 226278619 252899633 614184823 4299293761