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1985389056 = 293472977
BaseRepresentation
bin111011001010110…
…1010001000000000
312010100212012210000
41312111222020000
513031224422211
6525001440000
7100125346200
oct16625521000
95110765700
101985389056
11929778202
12474aa0000
1325842cb31
1414b974400
15b9478656
hex7656a200

1985389056 has 300 divisors, whose sum is σ = 6900407118. Its totient is φ = 566673408.

The previous prime is 1985389051. The next prime is 1985389073. The reversal of 1985389056 is 6509835891.

It is a happy number.

1985389056 is a `hidden beast` number, since 19 + 8 + 538 + 90 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1244678400 + 740710656 = 35280^2 + 27216^2 .

It is a super-2 number, since 2×19853890562 = 7883539407369142272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1985388993 and 1985389011.

It is not an unprimeable number, because it can be changed into a prime (1985389051) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2031640 + ... + 2032616.

Almost surely, 21985389056 is an apocalyptic number.

1985389056 is a gapful number since it is divisible by the number (16) 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 1985389056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3450203559).

1985389056 is an abundant number, since it is smaller than the sum of its proper divisors (4915018062).

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

1985389056 is an frugal number, since it uses more digits than its factorization.

1985389056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The square root of 1985389056 is about 44557.7047882855. The cubic root of 1985389056 is about 1256.8454421185.

The spelling of 1985389056 in words is "one billion, nine hundred eighty-five million, three hundred eighty-nine thousand, fifty-six".