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4113540424 = 237831396367
BaseRepresentation
bin1111010100101111…
…1010010101001000
3101121200100111122001
43311023322111020
531411031243144
61520103240344
7203636342140
oct36513722510
911550314561
104113540424
111820a93894
129697490b4
135072c63b6
142b046b920
15191201bd4
hexf52fa548

4113540424 has 64 divisors (see below), whose sum is σ = 8986521600. Its totient is φ = 1728903744.

The previous prime is 4113540407. The next prime is 4113540449. The reversal of 4113540424 is 4240453114.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 4113540392 and 4113540401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 642889 + ... + 649255.

It is an arithmetic number, because the mean of its divisors is an integer number (140414400).

Almost surely, 24113540424 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 4113540424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4493260800).

4113540424 is an abundant number, since it is smaller than the sum of its proper divisors (4872981176).

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

4113540424 is a wasteful number, since it uses less digits than its factorization.

4113540424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6602 (or 6598 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 4113540424 is about 64136.8881689781. Note that the first 3 decimals coincide. The cubic root of 4113540424 is about 1602.2806569578.

Adding to 4113540424 its reverse (4240453114), we get a palindrome (8353993538).

The spelling of 4113540424 in words is "four billion, one hundred thirteen million, five hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 83 139 166 278 332 556 581 664 973 1112 1162 1946 2324 3892 4648 6367 7784 11537 12734 23074 25468 44569 46148 50936 80759 89138 92296 161518 178276 323036 356552 528461 646072 885013 1056922 1770026 2113844 3540052 3699227 4227688 6195091 7080104 7398454 12390182 14796908 24780364 29593816 49560728 73456079 146912158 293824316 514192553 587648632 1028385106 2056770212 4113540424