Search a number
-
+
4281323904 = 273311138663
BaseRepresentation
bin1111111100101111…
…1101000110000000
3102001101001210022000
43333023331012000
532232004331104
61544455344000
7211044436614
oct37713750600
912041053260
104281323904
1118a7772020
129b5982000
13532cb0870
142c8865344
151a0ce5639
hexff2fd180

4281323904 has 256 divisors, whose sum is σ = 14846630400. Its totient is φ = 1197434880.

The previous prime is 4281323897. The next prime is 4281323923. The reversal of 4281323904 is 4093231824.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489877 + ... + 498539.

It is an arithmetic number, because the mean of its divisors is an integer number (57994650).

Almost surely, 24281323904 is an apocalyptic number.

4281323904 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 4281323904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7423315200).

4281323904 is an abundant number, since it is smaller than the sum of its proper divisors (10565306496).

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

4281323904 is a wasteful number, since it uses less digits than its factorization.

4281323904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8710 (or 8692 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4281323904 is about 65431.8263844133. The cubic root of 4281323904 is about 1623.7756652600.

The spelling of 4281323904 in words is "four billion, two hundred eighty-one million, three hundred twenty-three thousand, nine hundred four".