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4023135204 = 22311172297829
BaseRepresentation
bin1110111111001100…
…0010101111100100
3101101101020102222120
43233303002233210
531214410311304
61503113425540
7201461041104
oct35763025744
911341212876
104023135204
111784a56030
1294340b2b0
134c1661b9a
142a2457204
151882e50d9
hexefcc2be4

4023135204 has 96 divisors (see below), whose sum is σ = 10891843200. Its totient is φ = 1142261760.

The previous prime is 4023135203. The next prime is 4023135211. The reversal of 4023135204 is 4025313204.

It is not an unprimeable number, because it can be changed into a prime (4023135203) 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 31 ways as a sum of consecutive naturals, for example, 509962 + ... + 517790.

It is an arithmetic number, because the mean of its divisors is an integer number (113456700).

Almost surely, 24023135204 is an apocalyptic number.

4023135204 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4023135204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5445921600).

4023135204 is an abundant number, since it is smaller than the sum of its proper divisors (6868707996).

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

4023135204 is a wasteful number, since it uses less digits than its factorization.

4023135204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8093 (or 8091 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 4023135204 is about 63428.1893482701. The cubic root of 4023135204 is about 1590.4555745291.

Adding to 4023135204 its reverse (4025313204), we get a palindrome (8048448408).

The spelling of 4023135204 in words is "four billion, twenty-three million, one hundred thirty-five thousand, two hundred four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 229 374 458 561 687 748 916 1122 1374 2244 2519 2748 3893 5038 7557 7786 7829 10076 11679 15114 15572 15658 23358 23487 30228 31316 42823 46716 46974 85646 86119 93948 128469 133093 171292 172238 256938 258357 266186 344476 399279 513876 516714 532372 798558 1033428 1464023 1597116 1792841 2928046 3585682 4392069 5378523 5856092 7171364 8784138 10757046 17568276 19721251 21514092 30478297 39442502 59163753 60956594 78885004 91434891 118327506 121913188 182869782 236655012 335261267 365739564 670522534 1005783801 1341045068 2011567602 4023135204