Search a number
-
+
2989386432 = 263319831097
BaseRepresentation
bin1011001000101110…
…0110101011000000
321201100001120021000
42302023212223000
522110240331212
61212344532000
7134036236224
oct26213465300
97640046230
102989386432
1112a44812aa
126b5181000
13388439616
14205042784
151276991dc
hexb22e6ac0

2989386432 has 224 divisors, whose sum is σ = 9370771200. Its totient is φ = 931792896.

The previous prime is 2989386419. The next prime is 2989386461. The reversal of 2989386432 is 2346839892.

It is a happy number.

It is a super-3 number, since 3×29893864323 (a number of 29 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2724508 + ... + 2725604.

It is an arithmetic number, because the mean of its divisors is an integer number (41833800).

Almost surely, 22989386432 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 2989386432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4685385600).

2989386432 is an abundant number, since it is smaller than the sum of its proper divisors (6381384768).

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

2989386432 is a wasteful number, since it uses less digits than its factorization.

2989386432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1204 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 2989386432 is about 54675.2817276692. The cubic root of 2989386432 is about 1440.5467368340.

The spelling of 2989386432 in words is "two billion, nine hundred eighty-nine million, three hundred eighty-six thousand, four hundred thirty-two".