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2049457248 = 25338328579
BaseRepresentation
bin111101000101000…
…0011110001100000
312021211102012211000
41322022003301200
513144130112443
6535210552000
7101534046006
oct17212036140
95254365730
102049457248
11961957623
12492438600
132687a26c7
14156290a76
15bedd18d3
hex7a283c60

2049457248 has 96 divisors (see below), whose sum is σ = 6049814400. Its totient is φ = 674898048.

The previous prime is 2049457247. The next prime is 2049457279. The reversal of 2049457248 is 8427549402.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×20494572482 = 8400550022759467008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2049457247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57423 + ... + 86001.

It is an arithmetic number, because the mean of its divisors is an integer number (63018900).

Almost surely, 22049457248 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 2049457248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024907200).

2049457248 is an abundant number, since it is smaller than the sum of its proper divisors (4000357152).

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

2049457248 is a wasteful number, since it uses less digits than its factorization.

2049457248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28681 (or 28667 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2049457248 is about 45270.9316007524. The cubic root of 2049457248 is about 1270.2219728983.

The spelling of 2049457248 in words is "two billion, forty-nine million, four hundred fifty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 83 96 108 144 166 216 249 288 332 432 498 664 747 864 996 1328 1494 1992 2241 2656 2988 3984 4482 5976 7968 8964 11952 17928 23904 28579 35856 57158 71712 85737 114316 171474 228632 257211 342948 457264 514422 685896 771633 914528 1028844 1371792 1543266 2057688 2372057 2743584 3086532 4115376 4744114 6173064 7116171 8230752 9488228 12346128 14232342 18976456 21348513 24692256 28464684 37952912 42697026 56929368 64045539 75905824 85394052 113858736 128091078 170788104 227717472 256182156 341576208 512364312 683152416 1024728624 2049457248