Search a number
-
+
4232632368 = 2433116717033
BaseRepresentation
bin1111110001001000…
…1101100000110000
3101220222110000001210
43330102031200300
532132023213433
61540000000120
7206613532026
oct37422154060
911828400053
104232632368
111882235388
129a1600040
13525b92bc3
142c21cc716
1519b8c8463
hexfc48d830

4232632368 has 80 divisors (see below), whose sum is σ = 11355273216. Its totient is φ = 1357109760.

The previous prime is 4232632357. The next prime is 4232632381. The reversal of 4232632368 is 8632362324.

It is a nude number because it is divisible by every one of its digits.

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, 239980 + ... + 257012.

Almost surely, 24232632368 is an apocalyptic number.

4232632368 is a gapful number since it is divisible by the number (48) 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 4232632368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5677636608).

4232632368 is an abundant number, since it is smaller than the sum of its proper divisors (7122640848).

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

4232632368 is a wasteful number, since it uses less digits than its factorization.

4232632368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17242 (or 17236 counting only the distinct ones).

The product of its digits is 248832, while the sum is 39.

The square root of 4232632368 is about 65058.6840321874. The cubic root of 4232632368 is about 1617.5964417540.

The spelling of 4232632368 in words is "four billion, two hundred thirty-two million, six hundred thirty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 167 186 248 334 372 496 501 668 744 1002 1336 1488 2004 2672 4008 5177 8016 10354 15531 17033 20708 31062 34066 41416 51099 62124 68132 82832 102198 124248 136264 204396 248496 272528 408792 528023 817584 1056046 1584069 2112092 2844511 3168138 4224184 5689022 6336276 8448368 8533533 11378044 12672552 17067066 22756088 25345104 34134132 45512176 68268264 88179841 136536528 176359682 264539523 352719364 529079046 705438728 1058158092 1410877456 2116316184 4232632368