Search a number
-
+
4013324432 = 2413591572083
BaseRepresentation
bin1110111100110110…
…0111100010010000
3101100200210000010122
43233031213202100
531204402340212
61502123245412
7201311460215
oct35715474220
911320700118
104013324432
11177a465057
12940079868
134bc6084b0
142a1021b0c
15187508272
hexef367890

4013324432 has 80 divisors (see below), whose sum is σ = 8574242880. Its totient is φ = 1808441856.

The previous prime is 4013324369. The next prime is 4013324467. The reversal of 4013324432 is 2344233104.

It is a super-2 number, since 2×40133244322 = 32213545992976245248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 1925663 + ... + 1927745.

It is an arithmetic number, because the mean of its divisors is an integer number (107178036).

Almost surely, 24013324432 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 4013324432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4287121440).

4013324432 is an abundant number, since it is smaller than the sum of its proper divisors (4560918448).

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

4013324432 is a wasteful number, since it uses less digits than its factorization.

4013324432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 4013324432 is about 63350.8045094930. The cubic root of 4013324432 is about 1589.1616998913.

Adding to 4013324432 its reverse (2344233104), we get a palindrome (6357557536).

The spelling of 4013324432 in words is "four billion, thirteen million, three hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 59 104 118 157 208 236 314 472 628 767 944 1256 1534 2041 2083 2512 3068 4082 4166 6136 8164 8332 9263 12272 16328 16664 18526 27079 32656 33328 37052 54158 74104 108316 120419 122897 148208 216632 240838 245794 327031 433264 481676 491588 654062 963352 983176 1308124 1597661 1926704 1966352 2616248 3195322 4251403 5232496 6390644 8502806 12781288 17005612 19294829 25562576 34011224 38589658 68022448 77179316 154358632 250832777 308717264 501665554 1003331108 2006662216 4013324432