Search a number
-
+
4008123948 = 22319145912049
BaseRepresentation
bin1110111011100111…
…0001111000101100
3101100022222210102010
43232321301320230
531202034431243
61501420001220
7201216330363
oct35671617054
911308883363
104008123948
111777532934
1293a390210
134bb50739a
142a046a7da
15186d2c433
hexeee71e2c

4008123948 has 48 divisors (see below), whose sum is σ = 9852080000. Its totient is φ = 1264750848.

The previous prime is 4008123947. The next prime is 4008124009. The reversal of 4008123948 is 8493218004.

It is a super-2 number, since 2×40081239482 = 32130115165062213408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4008123943) 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 15 ways as a sum of consecutive naturals, for example, 326628 + ... + 338676.

Almost surely, 24008123948 is an apocalyptic number.

It is an amenable number.

4008123948 is an abundant number, since it is smaller than the sum of its proper divisors (5843956052).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4008123948 is a wasteful number, since it uses less digits than its factorization.

4008123948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13534 (or 13532 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 4008123948 is about 63309.7460743605. The cubic root of 4008123948 is about 1588.4749888788.

The spelling of 4008123948 in words is "four billion, eight million, one hundred twenty-three thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 1459 2918 4377 5836 8754 12049 17508 24098 27721 36147 48196 55442 72294 83163 110884 144588 166326 228931 332652 457862 686793 915724 1373586 2747172 17579491 35158982 52738473 70317964 105476946 210953892 334010329 668020658 1002030987 1336041316 2004061974 4008123948