Search a number
-
+
4285026144 = 253371933671
BaseRepresentation
bin1111111101101000…
…0100111101100000
3102001122000212211000
43333122010331200
532233431314034
61545110552000
7211121056410
oct37732047540
912048025730
104285026144
1118a9870623
129b7068600
135339a8a39
142c914a640
151a12c7599
hexff684f60

4285026144 has 192 divisors, whose sum is σ = 14361338880. Its totient is φ = 1217617920.

The previous prime is 4285026133. The next prime is 4285026149. The reversal of 4285026144 is 4416205824.

4285026144 is a `hidden beast` number, since 4 + 2 + 8 + 502 + 6 + 144 = 666.

It is a super-2 number, since 2×42850261442 = 36722898109527017472, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4285026099 and 4285026108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4285026149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1165429 + ... + 1169099.

It is an arithmetic number, because the mean of its divisors is an integer number (74798640).

Almost surely, 24285026144 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 4285026144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7180669440).

4285026144 is an abundant number, since it is smaller than the sum of its proper divisors (10076312736).

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

4285026144 is a wasteful number, since it uses less digits than its factorization.

4285026144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3890 (or 3876 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4285026144 is about 65460.1110906482. Note that the first 3 decimals coincide. The cubic root of 4285026144 is about 1624.2435793412.

The spelling of 4285026144 in words is "four billion, two hundred eighty-five million, twenty-six thousand, one hundred forty-four".