Search a number
-
+
3889620000 = 25345474
BaseRepresentation
bin1110011111010110…
…1110010000100000
3101001002000011120000
43213311232100200
530431220320000
61441544020000
7165250140000
oct34765562040
911032004500
103889620000
111716653092
12906761600
1349cab53c6
1428c820000
1517b720000
hexe7d6e420

3889620000 has 750 divisors, whose sum is σ = 16675929963. Its totient is φ = 889056000.

The previous prime is 3889619969. The next prime is 3889620001. The reversal of 3889620000 is 269883.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3889620000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 899280144 + 2990339856 = 29988^2 + 54684^2 .

It is a tau number, because it is divible by the number of its divisors (750).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=44100.

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

It is not an unprimeable number, because it can be changed into a prime (3889620001) by changing a digit.

It is a polite number, since it can be written in 124 ways as a sum of consecutive naturals, for example, 555659997 + ... + 555660003.

Almost surely, 23889620000 is an apocalyptic number.

3889620000 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 3889620000

3889620000 is an abundant number, since it is smaller than the sum of its proper divisors (12786309963).

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

3889620000 is an frugal number, since it uses more digits than its factorization.

3889620000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3889620000 is about 62366.8181006535. The cubic root of 3889620000 is about 1572.6632013159.

Adding to 3889620000 its reverse (269883), we get a palindrome (3889889883).

The spelling of 3889620000 in words is "three billion, eight hundred eighty-nine million, six hundred twenty thousand".