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2949392160 = 25325111314323
BaseRepresentation
bin1010111111001100…
…0010011100100000
321121112210122102200
42233303002130200
522020021022120
61204355413200
7133042263651
oct25763023440
97545718380
102949392160
111283944a90
126a38b4200
13380075580
141dd9d1528
15123de8e90
hexafcc2720

2949392160 has 288 divisors, whose sum is σ = 11825206848. Its totient is φ = 659957760.

The previous prime is 2949392153. The next prime is 2949392161. The reversal of 2949392160 is 612939492.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×29493921602 = 17397828226938931200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2949392161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198759 + ... + 213081.

It is an arithmetic number, because the mean of its divisors is an integer number (41059746).

Almost surely, 22949392160 is an apocalyptic number.

2949392160 is a gapful number since it is divisible by the number (20) 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 2949392160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5912603424).

2949392160 is an abundant number, since it is smaller than the sum of its proper divisors (8875814688).

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

2949392160 is a wasteful number, since it uses less digits than its factorization.

2949392160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14368 (or 14357 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 2949392160 is about 54308.3065469731. The cubic root of 2949392160 is about 1434.0936313693.

The spelling of 2949392160 in words is "two billion, nine hundred forty-nine million, three hundred ninety-two thousand, one hundred sixty".