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289494889400 = 235237313124987
BaseRepresentation
bin1000011011001110011…
…11010111001110111000
31000200020101201010010202
410031213033113032320
514220341142430100
6340554144101332
726625644646623
oct4154717271670
91020211633122
10289494889400
11101857355212
1248133304848
13213b75ba132
1410023c96dba
1577e52c87d5
hex43673d73b8

289494889400 has 96 divisors (see below), whose sum is σ = 693480919440. Its totient is φ = 112307420160.

The previous prime is 289494889393. The next prime is 289494889493. The reversal of 289494889400 is 4988494982.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2253707 + ... + 2378693.

Almost surely, 2289494889400 is an apocalyptic number.

289494889400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289494889400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346740459720).

289494889400 is an abundant number, since it is smaller than the sum of its proper divisors (403986030040).

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

289494889400 is a wasteful number, since it uses less digits than its factorization.

289494889400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125353 (or 125344 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 65.

The spelling of 289494889400 in words is "two hundred eighty-nine billion, four hundred ninety-four million, eight hundred eighty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 313 370 626 740 925 1252 1480 1565 1850 2504 3130 3700 6260 7400 7825 11581 12520 15650 23162 31300 46324 57905 62600 92648 115810 124987 231620 249974 289525 463240 499948 579050 624935 999896 1158100 1249870 2316200 2499740 3124675 4624519 4999480 6249350 9249038 12498700 18498076 23122595 24997400 36996152 39120931 46245190 78241862 92490380 115612975 156483724 184980760 195604655 231225950 312967448 391209310 462451900 782418620 924903800 978023275 1447474447 1564837240 1956046550 2894948894 3912093100 5789897788 7237372235 7824186200 11579795576 14474744470 28949488940 36186861175 57898977880 72373722350 144747444700 289494889400