Search a number
-
+
4123200424 = 237412238053
BaseRepresentation
bin1111010111000011…
…0000101110101000
3101122100112021122211
43311300300232220
531421014403144
61521050254504
7204114424330
oct36560605650
911570467584
104123200424
111826491562
12970a27434
135092c9285
142b18640c0
15191eae034
hexf5c30ba8

4123200424 has 64 divisors (see below), whose sum is σ = 9092643840. Its totient is φ = 1716042240.

The previous prime is 4123200401. The next prime is 4123200439. The reversal of 4123200424 is 4240023214.

It is a happy number.

4123200424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4123200395 and 4123200404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 507982 + ... + 516034.

It is an arithmetic number, because the mean of its divisors is an integer number (142072560).

Almost surely, 24123200424 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 4123200424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4546321920).

4123200424 is an abundant number, since it is smaller than the sum of its proper divisors (4969443416).

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

4123200424 is a wasteful number, since it uses less digits than its factorization.

4123200424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8330 (or 8326 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4123200424 is about 64212.1516848641. The cubic root of 4123200424 is about 1603.5339108000.

Adding to 4123200424 its reverse (4240023214), we get a palindrome (8363223638).

The spelling of 4123200424 in words is "four billion, one hundred twenty-three million, two hundred thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 223 287 328 446 574 892 1148 1561 1784 2296 3122 6244 8053 9143 12488 16106 18286 32212 36572 56371 64001 64424 73144 112742 128002 225484 256004 330173 450968 512008 660346 1320692 1795819 2311211 2641384 3591638 4622422 7183276 9244844 12570733 14366552 18489688 25141466 50282932 73628579 100565864 147257158 294514316 515400053 589028632 1030800106 2061600212 4123200424