Search a number
-
+
4240423040 = 275719311607
BaseRepresentation
bin1111110010111111…
…1011100010000000
3101221112002210212012
43330233323202000
532141022014130
61540434552052
7210040000250
oct37457734200
911845083765
104240423040
111886676657
129a4138628
1352768cc79
142c3259960
1519c416995
hexfcbfb880

4240423040 has 256 divisors, whose sum is σ = 12596428800. Its totient is φ = 1332080640.

The previous prime is 4240423013. The next prime is 4240423069. The reversal of 4240423040 is 403240424.

It is a junction number, because it is equal to n+sod(n) for n = 4240422997 and 4240423015.

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, 2637917 + ... + 2639523.

It is an arithmetic number, because the mean of its divisors is an integer number (49204800).

Almost surely, 24240423040 is an apocalyptic number.

4240423040 is a gapful number since it is divisible by the number (40) 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 4240423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6298214400).

4240423040 is an abundant number, since it is smaller than the sum of its proper divisors (8356005760).

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

4240423040 is a wasteful number, since it uses less digits than its factorization.

4240423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 4240423040 is about 65118.5306959547. The cubic root of 4240423040 is about 1618.5882941185.

Adding to 4240423040 its reverse (403240424), we get a palindrome (4643663464).

The spelling of 4240423040 in words is "four billion, two hundred forty million, four hundred twenty-three thousand, forty".