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2588081376 = 253314121211
BaseRepresentation
bin1001101001000010…
…1111110011100000
320200100221011012210
42122100233303200
520300022101001
61104451322120
7121064220516
oct23220576340
96610834183
102588081376
1111089a4931
126028b0340
1332325bcca
141a7a1c4b6
15102328dd6
hex9a42fce0

2588081376 has 96 divisors (see below), whose sum is σ = 7184249856. Its totient is φ = 814464000.

The previous prime is 2588081369. The next prime is 2588081381. The reversal of 2588081376 is 6731808852.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111411 + ... + 132621.

It is an arithmetic number, because the mean of its divisors is an integer number (74835936).

Almost surely, 22588081376 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 2588081376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3592124928).

2588081376 is an abundant number, since it is smaller than the sum of its proper divisors (4596168480).

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

2588081376 is a wasteful number, since it uses less digits than its factorization.

2588081376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21296 (or 21288 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The square root of 2588081376 is about 50873.1891667900. The cubic root of 2588081376 is about 1372.9645035450.

The spelling of 2588081376 in words is "two billion, five hundred eighty-eight million, eighty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 41 48 62 82 93 96 123 124 164 186 246 248 328 372 492 496 656 744 984 992 1271 1312 1488 1968 2542 2976 3813 3936 5084 7626 10168 15252 20336 21211 30504 40672 42422 61008 63633 84844 122016 127266 169688 254532 339376 509064 657541 678752 869651 1018128 1315082 1739302 1972623 2036256 2608953 2630164 3478604 3945246 5217906 5260328 6957208 7890492 10435812 10520656 13914416 15780984 20871624 21041312 26959181 27828832 31561968 41743248 53918362 63123936 80877543 83486496 107836724 161755086 215673448 323510172 431346896 647020344 862693792 1294040688 2588081376