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2149829748 = 2238112677
BaseRepresentation
bin1000000000100011…
…1100110001110100
312112211021200000000
42000020330301310
513400324022443
6553154151300
7104163152133
oct20010746164
95484250000
102149829748
11a03582a00
124bbb82530
13283516911
1416573b91a
15c8b0b8d3
hex8023cc74

2149829748 has 162 divisors, whose sum is σ = 6211816338. Its totient is φ = 650501280.

The previous prime is 2149829719. The next prime is 2149829749. The reversal of 2149829748 is 8479289412.

2149829748 is a `hidden beast` number, since 21 + 498 + 2 + 97 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2146654224 + 3175524 = 46332^2 + 1782^2 .

It is a tau number, because it is divible by the number of its divisors (162).

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 = 2149829694 and 2149829703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2149829749) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3175186 + ... + 3175862.

Almost surely, 22149829748 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 2149829748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105908169).

2149829748 is an abundant number, since it is smaller than the sum of its proper divisors (4061986590).

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

2149829748 is an equidigital number, since it uses as much as digits as its factorization.

2149829748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 693 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 2149829748 is about 46366.2565666024. The cubic root of 2149829748 is about 1290.6288118776.

The spelling of 2149829748 in words is "two billion, one hundred forty-nine million, eight hundred twenty-nine thousand, seven hundred forty-eight".