Search a number
-
+
4229062992 = 24327211232103
BaseRepresentation
bin1111110000010010…
…0110000101010000
3101220201201122210200
43330010212011100
532130120003432
61535351255200
7206541304500
oct37404460520
911821648720
104229062992
111880217690
129a037a500
1352521334b
142c193da00
1519b420a7c
hexfc126150

4229062992 has 540 divisors, whose sum is σ = 15853297824. Its totient is φ = 1040497920.

The previous prime is 4229062967. The next prime is 4229062993. The reversal of 4229062992 is 2992609224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4229062993) 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 107 ways as a sum of consecutive naturals, for example, 41058813 + ... + 41058915.

Almost surely, 24229062992 is an apocalyptic number.

4229062992 is a gapful number since it is divisible by the number (42) 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 4229062992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7926648912).

4229062992 is an abundant number, since it is smaller than the sum of its proper divisors (11624234832).

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

4229062992 is a wasteful number, since it uses less digits than its factorization.

4229062992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 4229062992 is about 65031.2462743872. The cubic root of 4229062992 is about 1617.1416078829.

The spelling of 4229062992 in words is "four billion, two hundred twenty-nine million, sixty-two thousand, nine hundred ninety-two".