Search a number
-
+
4232325504 = 273111138867
BaseRepresentation
bin1111110001000100…
…0010100110000000
3101220221212102010110
43330101002212000
532131433404004
61535545231320
7206611113261
oct37421024600
911827772113
104232325504
111882045880
129a1492540
13525ab6324
142c214c968
1519b867589
hexfc442980

4232325504 has 128 divisors (see below), whose sum is σ = 12374052480. Its totient is φ = 1271029760.

The previous prime is 4232325497. The next prime is 4232325533. The reversal of 4232325504 is 4055232324.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 472879 + ... + 481745.

It is an arithmetic number, because the mean of its divisors is an integer number (96672285).

Almost surely, 24232325504 is an apocalyptic number.

4232325504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4232325504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6187026240).

4232325504 is an abundant number, since it is smaller than the sum of its proper divisors (8141726976).

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

4232325504 is a wasteful number, since it uses less digits than its factorization.

4232325504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9008 (or 8996 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 4232325504 is about 65056.3256263371. The cubic root of 4232325504 is about 1617.5573491305.

Adding to 4232325504 its reverse (4055232324), we get a palindrome (8287557828).

The spelling of 4232325504 in words is "four billion, two hundred thirty-two million, three hundred twenty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 113 128 132 176 192 226 264 339 352 384 452 528 678 704 904 1056 1243 1356 1408 1808 2112 2486 2712 3616 3729 4224 4972 5424 7232 7458 8867 9944 10848 14464 14916 17734 19888 21696 26601 29832 35468 39776 43392 53202 59664 70936 79552 97537 106404 119328 141872 159104 195074 212808 238656 283744 292611 390148 425616 477312 567488 585222 780296 851232 1001971 1134976 1170444 1560592 1702464 2003942 2340888 3005913 3121184 3404928 4007884 4681776 6011826 6242368 8015768 9363552 11021681 12023652 12484736 16031536 18727104 22043362 24047304 32063072 33065043 37454208 44086724 48094608 64126144 66130086 88173448 96189216 128252288 132260172 176346896 192378432 264520344 352693792 384756864 529040688 705387584 1058081376 1410775168 2116162752 4232325504