Search a number
-
+
2424011232 = 253173793919
BaseRepresentation
bin1001000001111011…
…0111100111100000
320020221012112021210
42100132313213200
514431021324412
61040310550120
7114032520066
oct22036674740
96227175253
102424011232
111034322575
12577968340
132c8274a96
1418dd10036
15e2c1a83c
hex907b79e0

2424011232 has 96 divisors (see below), whose sum is σ = 6756825600. Its totient is φ = 758274048.

The previous prime is 2424011231. The next prime is 2424011243. The reversal of 2424011232 is 2321104242.

2424011232 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2424011199 and 2424011208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2424011231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 616569 + ... + 620487.

It is an arithmetic number, because the mean of its divisors is an integer number (70383600).

Almost surely, 22424011232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2424011232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3378412800).

2424011232 is an abundant number, since it is smaller than the sum of its proper divisors (4332814368).

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

2424011232 is a wasteful number, since it uses less digits than its factorization.

2424011232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4328 (or 4320 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2424011232 is about 49234.2485674353. The cubic root of 2424011232 is about 1343.3160671279.

Adding to 2424011232 its reverse (2321104242), we get a palindrome (4745115474).

The spelling of 2424011232 in words is "two billion, four hundred twenty-four million, eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 379 408 544 758 816 1137 1516 1632 2274 3032 3919 4548 6064 6443 7838 9096 11757 12128 12886 15676 18192 19329 23514 25772 31352 36384 38658 47028 51544 62704 66623 77316 94056 103088 125408 133246 154632 188112 199869 206176 266492 309264 376224 399738 532984 618528 799476 1065968 1485301 1598952 2131936 2970602 3197904 4455903 5941204 6395808 8911806 11882408 17823612 23764816 25250117 35647224 47529632 50500234 71294448 75750351 101000468 142588896 151500702 202000936 303001404 404001872 606002808 808003744 1212005616 2424011232