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2493487488 = 273411091453
BaseRepresentation
bin1001010010011111…
…1001100110000000
320102202221021210110
42110213321212000
520101313044423
61051232031320
7115535202552
oct22447714600
96382837713
102493487488
11106a566068
12597092540
1330978c0ab
141992374d2
15e8d91193
hex949f9980

2493487488 has 128 divisors (see below), whose sum is σ = 6851829600. Its totient is φ = 802897920.

The previous prime is 2493487487. The next prime is 2493487517. The reversal of 2493487488 is 8847843942.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2493487481) 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, 1715370 + ... + 1716822.

Almost surely, 22493487488 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 2493487488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425914800).

2493487488 is an abundant number, since it is smaller than the sum of its proper divisors (4358342112).

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

2493487488 is a wasteful number, since it uses less digits than its factorization.

2493487488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620 (or 1608 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 57.

The square root of 2493487488 is about 49934.8324118546. The cubic root of 2493487488 is about 1356.0292716508.

The spelling of 2493487488 in words is "two billion, four hundred ninety-three million, four hundred eighty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 109 123 128 164 192 218 246 327 328 384 436 492 654 656 872 984 1308 1312 1453 1744 1968 2616 2624 2906 3488 3936 4359 4469 5232 5248 5812 6976 7872 8718 8938 10464 11624 13407 13952 15744 17436 17876 20928 23248 26814 34872 35752 41856 46496 53628 59573 69744 71504 92992 107256 119146 139488 143008 158377 178719 185984 214512 238292 278976 286016 316754 357438 429024 475131 476584 557952 572032 633508 714876 858048 950262 953168 1267016 1429752 1716096 1900524 1906336 2534032 2859504 3801048 3812672 5068064 5719008 6493457 7602096 7625344 10136128 11438016 12986914 15204192 19480371 20272256 22876032 25973828 30408384 38960742 51947656 60816768 77921484 103895312 155842968 207790624 311685936 415581248 623371872 831162496 1246743744 2493487488