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2256057726 = 2313217294513
BaseRepresentation
bin1000011001111000…
…1011010101111110
312211020011121101120
42012132023111332
514110022321401
61011511051410
7106623113526
oct20636132576
95736147346
102256057726
11a5853861a
1252b670b66
1329c52b100
141758b0686
15d30e1836
hex8678b57e

2256057726 has 96 divisors (see below), whose sum is σ = 5352881760. Its totient is φ = 630669312.

The previous prime is 2256057703. The next prime is 2256057751. The reversal of 2256057726 is 6277506522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 497646 + ... + 502158.

It is an arithmetic number, because the mean of its divisors is an integer number (55759185).

Almost surely, 22256057726 is an apocalyptic number.

2256057726 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2256057726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676440880).

2256057726 is an abundant number, since it is smaller than the sum of its proper divisors (3096824034).

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

2256057726 is a wasteful number, since it uses less digits than its factorization.

2256057726 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4590 (or 4577 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The square root of 2256057726 is about 47497.9760200369. The cubic root of 2256057726 is about 1311.5456235506.

The spelling of 2256057726 in words is "two billion, two hundred fifty-six million, fifty-seven thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 13 17 26 29 34 39 51 58 78 87 102 169 174 221 338 377 442 493 507 663 754 986 1014 1131 1326 1479 2262 2873 2958 4513 4901 5746 6409 8619 9026 9802 12818 13539 14703 17238 19227 27078 29406 38454 58669 76721 83317 117338 130877 153442 166634 176007 230163 249951 261754 352014 392631 460326 499902 762697 785262 997373 1525394 1701401 1994746 2224909 2288091 2992119 3402802 4449818 4576182 5104203 5984238 6674727 10208406 12965849 13349454 22118213 25931698 28923817 38897547 44236426 57847634 66354639 77795094 86771451 132709278 173542902 376009621 752019242 1128028863 2256057726