Search a number
-
+
4232438784 = 210337191151
BaseRepresentation
bin1111110001000101…
…1110010000000000
3101220222002011112000
43330101132100000
532132001020114
61535551504000
7206612064450
oct37421362000
911828064460
104232438784
1118821129a2
129a1528000
13525b25a62
142c217bd60
1519b88ae09
hexfc45e400

4232438784 has 352 divisors, whose sum is σ = 15092121600. Its totient is φ = 1144627200.

The previous prime is 4232438761. The next prime is 4232438801. The reversal of 4232438784 is 4878342324.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3676609 + ... + 3677759.

Almost surely, 24232438784 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 4232438784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7546060800).

4232438784 is an abundant number, since it is smaller than the sum of its proper divisors (10859682816).

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

4232438784 is a wasteful number, since it uses less digits than its factorization.

4232438784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1182 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 45.

The square root of 4232438784 is about 65057.1962506839. The cubic root of 4232438784 is about 1617.5717805395.

The spelling of 4232438784 in words is "four billion, two hundred thirty-two million, four hundred thirty-eight thousand, seven hundred eighty-four".