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896642406 = 233114732117
BaseRepresentation
bin110101011100011…
…010110101100110
32022111012011011000
4311130122311212
53314020024111
6224550054130
731135222542
oct6534326546
92274164130
10896642406
11420149790
1221034a346
131139bc34a
1487124a22
1553ab6c56
hex3571ad66

896642406 has 64 divisors (see below), whose sum is σ = 2219996160. Its totient is φ = 265920480.

The previous prime is 896642381. The next prime is 896642413. The reversal of 896642406 is 604246698.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11860 + ... + 43976.

It is an arithmetic number, because the mean of its divisors is an integer number (34687440).

Almost surely, 2896642406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 896642406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109998080).

896642406 is an abundant number, since it is smaller than the sum of its proper divisors (1323353754).

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

896642406 is a wasteful number, since it uses less digits than its factorization.

896642406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32186 (or 32180 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 896642406 is about 29943.9878105773. The cubic root of 896642406 is about 964.2872509041.

The spelling of 896642406 in words is "eight hundred ninety-six million, six hundred forty-two thousand, four hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 47 54 66 94 99 141 198 282 297 423 517 594 846 1034 1269 1551 2538 3102 4653 9306 13959 27918 32117 64234 96351 192702 289053 353287 578106 706574 867159 1059861 1509499 1734318 2119722 3018998 3179583 4528497 6359166 9056994 9538749 13585491 16604489 19077498 27170982 33208978 40756473 49813467 81512946 99626934 149440401 298880802 448321203 896642406