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2289963424 = 25729615779
BaseRepresentation
bin1000100001111110…
…0001000110100000
312220120222012021011
42020133201012200
514142212312144
61015121510304
7110514240130
oct21037410640
95816865234
102289963424
11a75696461
1253aaa2394
132a656ca58
1417a1b8ac0
15d608ca34
hex887e11a0

2289963424 has 96 divisors (see below), whose sum is σ = 5418403200. Its totient is φ = 931875840.

The previous prime is 2289963383. The next prime is 2289963433. The reversal of 2289963424 is 4243699822.

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, 393367 + ... + 399145.

It is an arithmetic number, because the mean of its divisors is an integer number (56441700).

Almost surely, 22289963424 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 2289963424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709201600).

2289963424 is an abundant number, since it is smaller than the sum of its proper divisors (3128439776).

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

2289963424 is a wasteful number, since it uses less digits than its factorization.

2289963424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5886 (or 5878 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 49.

The square root of 2289963424 is about 47853.5622916414. The cubic root of 2289963424 is about 1318.0832726163.

The spelling of 2289963424 in words is "two billion, two hundred eighty-nine million, nine hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 61 112 116 122 203 224 232 244 406 427 464 488 812 854 928 976 1624 1708 1769 1952 3248 3416 3538 5779 6496 6832 7076 11558 12383 13664 14152 23116 24766 28304 40453 46232 49532 56608 80906 92464 99064 161812 167591 184928 198128 323624 335182 352519 396256 647248 670364 705038 1173137 1294496 1340728 1410076 2346274 2467633 2681456 2820152 4692548 4935266 5362912 5640304 9385096 9870532 10223051 11280608 18770192 19741064 20446102 37540384 39482128 40892204 71561357 78964256 81784408 143122714 163568816 286245428 327137632 572490856 1144981712 2289963424