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849031040 = 27511139277
BaseRepresentation
bin110010100110110…
…010111110000000
32012011121020122002
4302212302332000
53214322443130
6220125403132
730016434104
oct6246627600
92164536562
10849031040
113a628a650
121b84094a8
13106b8c240
1480a8d904
154e80eb45
hex329b2f80

849031040 has 128 divisors (see below), whose sum is σ = 2384817120. Its totient is φ = 284958720.

The previous prime is 849031033. The next prime is 849031049. The reversal of 849031040 is 40130948.

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

It is a junction number, because it is equal to n+sod(n) for n = 849030994 and 849031012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (849031049) 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, 86882 + ... + 96158.

Almost surely, 2849031040 is an apocalyptic number.

849031040 is a gapful number since it is divisible by the number (80) 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 849031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192408560).

849031040 is an abundant number, since it is smaller than the sum of its proper divisors (1535786080).

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

849031040 is a wasteful number, since it uses less digits than its factorization.

849031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9320 (or 9308 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 849031040 is about 29138.1372088196. The cubic root of 849031040 is about 946.9081532540.

Adding to 849031040 its reverse (40130948), we get a palindrome (889161988).

The spelling of 849031040 in words is "eight hundred forty-nine million, thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 128 130 143 160 176 208 220 260 286 320 352 416 440 520 572 640 704 715 832 880 1040 1144 1408 1430 1664 1760 2080 2288 2860 3520 4160 4576 5720 7040 8320 9152 9277 11440 18304 18554 22880 37108 45760 46385 74216 91520 92770 102047 120601 148432 185540 204094 241202 296864 371080 408188 482404 510235 593728 603005 742160 816376 964808 1020470 1187456 1206010 1326611 1484320 1632752 1929616 2040940 2412020 2653222 2968640 3265504 3859232 4081880 4824040 5306444 5937280 6531008 6633055 7718464 8163760 9648080 10612888 13062016 13266110 15436928 16327520 19296160 21225776 26532220 32655040 38592320 42451552 53064440 65310080 77184640 84903104 106128880 169806208 212257760 424515520 849031040