Search a number
-
+
3568428000 = 253353193747
BaseRepresentation
bin1101010010110001…
…1110001111100000
3100012200121220222000
43110230132033200
524302004144000
61350031444000
7154300065114
oct32454361740
910180556860
103568428000
111571314855
12837086600
1344b3a7777
1425bcd1744
1515d427000
hexd4b1e3e0

3568428000 has 768 divisors, whose sum is σ = 14341017600. Its totient is φ = 858470400.

The previous prime is 3568427987. The next prime is 3568428077. The reversal of 3568428000 is 8248653.

3568428000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 127 ways as a sum of consecutive naturals, for example, 75923977 + ... + 75924023.

It is an arithmetic number, because the mean of its divisors is an integer number (18673200).

Almost surely, 23568428000 is an apocalyptic number.

3568428000 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 3568428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7170508800).

3568428000 is an abundant number, since it is smaller than the sum of its proper divisors (10772589600).

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

3568428000 is a wasteful number, since it uses less digits than its factorization.

3568428000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3568428000 is about 59736.3206098266. The cubic root of 3568428000 is about 1528.1253472091.

The spelling of 3568428000 in words is "three billion, five hundred sixty-eight million, four hundred twenty-eight thousand".