Search a number
-
+
4230033632 = 2511411092689
BaseRepresentation
bin1111110000100001…
…0011000011100000
3101220210112222021022
43330020103003200
532130342034012
61535424145012
7206552456366
oct37410230340
911823488238
104230033632
11188081a970
129a0768168
135254930a6
142c1b13636
1519b563472
hexfc2130e0

4230033632 has 96 divisors (see below), whose sum is σ = 9395416800. Its totient is φ = 1857945600.

The previous prime is 4230033629. The next prime is 4230033637. The reversal of 4230033632 is 2363300324.

It is a super-2 number, since 2×42300336322 = 35786369055702222848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4230033637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1571744 + ... + 1574432.

It is an arithmetic number, because the mean of its divisors is an integer number (97868925).

Almost surely, 24230033632 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 4230033632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4697708400).

4230033632 is an abundant number, since it is smaller than the sum of its proper divisors (5165383168).

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

4230033632 is a wasteful number, since it uses less digits than its factorization.

4230033632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2860 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

The square root of 4230033632 is about 65038.7087202690. The cubic root of 4230033632 is about 1617.2653186797.

Adding to 4230033632 its reverse (2363300324), we get a palindrome (6593333956).

The spelling of 4230033632 in words is "four billion, two hundred thirty million, thirty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 41 44 82 88 109 164 176 218 328 352 436 451 656 872 902 1199 1312 1744 1804 2398 2689 3488 3608 4469 4796 5378 7216 8938 9592 10756 14432 17876 19184 21512 29579 35752 38368 43024 49159 59158 71504 86048 98318 110249 118316 143008 196636 220498 236632 293101 393272 440996 473264 586202 786544 881992 946528 1172404 1212739 1573088 1763984 2344808 2425478 3224111 3527968 4689616 4850956 6448222 9379232 9701912 12017141 12896444 19403824 24034282 25792888 38807648 48068564 51585776 96137128 103171552 132188551 192274256 264377102 384548512 528754204 1057508408 2115016816 4230033632