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2486953248 = 253132637577
BaseRepresentation
bin1001010000111011…
…1110010100100000
320102022122022111120
42110032332110200
520043130000443
61050440012240
7115425516363
oct22416762440
96368568446
102486953248
11106690286a
12594a61080
13308311b90
141984160da
15e8500083
hex943be520

2486953248 has 96 divisors (see below), whose sum is σ = 7058088576. Its totient is φ = 762206208.

The previous prime is 2486953247. The next prime is 2486953279. The reversal of 2486953248 is 8423596842.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2486953248.

It is not an unprimeable number, because it can be changed into a prime (2486953241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324436 + ... + 332012.

It is an arithmetic number, because the mean of its divisors is an integer number (73521756).

Almost surely, 22486953248 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 2486953248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3529044288).

2486953248 is an abundant number, since it is smaller than the sum of its proper divisors (4571135328).

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

2486953248 is a wasteful number, since it uses less digits than its factorization.

2486953248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7866 (or 7858 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 51.

The square root of 2486953248 is about 49869.3618166505. The cubic root of 2486953248 is about 1354.8437337436.

The spelling of 2486953248 in words is "two billion, four hundred eighty-six million, nine hundred fifty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 263 312 416 526 624 789 1052 1248 1578 2104 3156 3419 4208 6312 6838 7577 8416 10257 12624 13676 15154 20514 22731 25248 27352 30308 41028 45462 54704 60616 82056 90924 98501 109408 121232 164112 181848 197002 242464 295503 328224 363696 394004 591006 727392 788008 1182012 1576016 1992751 2364024 3152032 3985502 4728048 5978253 7971004 9456096 11956506 15942008 23913012 25905763 31884016 47826024 51811526 63768032 77717289 95652048 103623052 155434578 191304096 207246104 310869156 414492208 621738312 828984416 1243476624 2486953248