Search a number
-
+
2739889152 = 21035711213
BaseRepresentation
bin1010001101001111…
…0110010000000000
321001221120210100000
42203103312100000
521102402423102
61131513200000
7124616450010
oct24323662000
97057523300
102739889152
111186661300
12645700000
133488419b0
141bdc57c40
1511081401c
hexa34f6400

2739889152 has 792 divisors, whose sum is σ = 11099128768. Its totient is φ = 656916480.

The previous prime is 2739889123. The next prime is 2739889157. The reversal of 2739889152 is 2519889372.

2739889152 is a `hidden beast` number, since 27 + 398 + 89 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

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

Its product of digits (2177280) is a multiple of the sum of its prime divisors (36).

It is not an unprimeable number, because it can be changed into a prime (2739889157) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 210760698 + ... + 210760710.

Almost surely, 22739889152 is an apocalyptic number.

2739889152 is a gapful number since it is divisible by the number (22) 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 2739889152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5549564384).

2739889152 is an abundant number, since it is smaller than the sum of its proper divisors (8359239616).

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

2739889152 is a wasteful number, since it uses less digits than its factorization.

2739889152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 36 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 2739889152 is about 52343.9504814071. The cubic root of 2739889152 is about 1399.3005267753.

The spelling of 2739889152 in words is "two billion, seven hundred thirty-nine million, eight hundred eighty-nine thousand, one hundred fifty-two".