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411004992 = 26341109479
BaseRepresentation
bin11000011111110…
…111000001000000
31001122101012212010
4120133313001000
51320204124432
6104441132520
713120325166
oct3037670100
91048335763
10411004992
111a1002152
12b578a140
13671c5728
143c82b236
15261393cc
hex187f7040

411004992 has 112 divisors (see below), whose sum is σ = 1126540800. Its totient is φ = 132157440.

The previous prime is 411004987. The next prime is 411005003. The reversal of 411004992 is 299400114.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 857809 + ... + 858287.

It is an arithmetic number, because the mean of its divisors is an integer number (10058400).

Almost surely, 2411004992 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 411004992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563270400).

411004992 is an abundant number, since it is smaller than the sum of its proper divisors (715535808).

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

411004992 is a wasteful number, since it uses less digits than its factorization.

411004992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 411004992 is about 20273.2580509399. The cubic root of 411004992 is about 743.5023843269.

The spelling of 411004992 in words is "four hundred eleven million, four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 109 123 164 192 218 246 327 328 436 479 492 654 656 872 958 984 1308 1312 1437 1744 1916 1968 2616 2624 2874 3488 3832 3936 4469 5232 5748 6976 7664 7872 8938 10464 11496 13407 15328 17876 19639 20928 22992 26814 30656 35752 39278 45984 52211 53628 58917 71504 78556 91968 104422 107256 117834 143008 156633 157112 208844 214512 235668 286016 313266 314224 417688 429024 471336 626532 628448 835376 858048 942672 1253064 1256896 1670752 1885344 2140651 2506128 3341504 3770688 4281302 5012256 6421953 8562604 10024512 12843906 17125208 25687812 34250416 51375624 68500832 102751248 137001664 205502496 411004992