Search a number
-
+
38286244080 = 243557240193
BaseRepresentation
bin100011101010000010…
…011011100011110000
310122211020022201100000
4203222002123203300
51111402234302310
625331035030000
72523524463600
oct435202334360
9118736281300
1038286244080
111526764a937
127505b9b300
1337c1cca9c6
141bd2b44c00
15ee13174c0
hex8ea09b8f0

38286244080 has 360 divisors, whose sum is σ = 155113790832. Its totient is φ = 8750923776.

The previous prime is 38286244001. The next prime is 38286244109. The reversal of 38286244080 is 8044268283.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 932464 + ... + 972656.

Almost surely, 238286244080 is an apocalyptic number.

38286244080 is a gapful number since it is divisible by the number (30) 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 38286244080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77556895416).

38286244080 is an abundant number, since it is smaller than the sum of its proper divisors (116827546752).

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

38286244080 is a wasteful number, since it uses less digits than its factorization.

38286244080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40235 (or 40210 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 38286244080 in words is "thirty-eight billion, two hundred eighty-six million, two hundred forty-four thousand, eighty".