Search a number
-
+
4080297624 = 2331331735779
BaseRepresentation
bin1111001100110100…
…0110011010011000
3101112100210121002020
43303031012122120
531324024010444
61512514534440
7203053646304
oct36315063230
911470717066
104080297624
111804248aa7
1295a597420
135004573c0
142a9c96d04
1518d337119
hexf3346698

4080297624 has 128 divisors (see below), whose sum is σ = 11497113600. Its totient is φ = 1198126080.

The previous prime is 4080297541. The next prime is 4080297629. The reversal of 4080297624 is 4267920804.

4080297624 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (4080297629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 703167 + ... + 708945.

It is an arithmetic number, because the mean of its divisors is an integer number (89821200).

Almost surely, 24080297624 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 4080297624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5748556800).

4080297624 is an abundant number, since it is smaller than the sum of its proper divisors (7416815976).

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

4080297624 is a wasteful number, since it uses less digits than its factorization.

4080297624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5905 (or 5901 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 4080297624 is about 63877.2073904300. The cubic root of 4080297624 is about 1597.9528015203.

The spelling of 4080297624 in words is "four billion, eighty million, two hundred ninety-seven thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 73 78 93 104 124 146 156 186 219 248 292 312 372 403 438 584 744 806 876 949 1209 1612 1752 1898 2263 2418 2847 3224 3796 4526 4836 5694 5779 6789 7592 9052 9672 11388 11558 13578 17337 18104 22776 23116 27156 29419 34674 46232 54312 58838 69348 75127 88257 117676 138696 150254 176514 179149 225381 235352 300508 353028 358298 421867 450762 537447 601016 706056 716596 843734 901524 1074894 1265601 1433192 1687468 1803048 2149788 2328937 2531202 3374936 4299576 4657874 5062404 5484271 6986811 9315748 10124808 10968542 13077877 13973622 16452813 18631496 21937084 26155754 27947244 32905626 39233631 43874168 52311508 55894488 65811252 78467262 104623016 131622504 156934524 170012401 313869048 340024802 510037203 680049604 1020074406 1360099208 2040148812 4080297624