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856489984 = 21671867
BaseRepresentation
bin110011000011010…
…000000000000000
32012200122012101021
4303003100000000
53223230134414
6220553315224
730140021230
oct6303200000
92180565337
10856489984
113aa514669
121baa05b14
131085a130c
1481a71cc0
15502d4c24
hex330d0000

856489984 has 68 divisors (see below), whose sum is σ = 1958725024. Its totient is φ = 366870528.

The previous prime is 856489951. The next prime is 856490003. The reversal of 856489984 is 489984658.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 457819 + ... + 459685.

Almost surely, 2856489984 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 856489984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979362512).

856489984 is an abundant number, since it is smaller than the sum of its proper divisors (1102235040).

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

856489984 is an frugal number, since it uses more digits than its factorization.

856489984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1876 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 61.

The square root of 856489984 is about 29265.8501328767. The cubic root of 856489984 is about 949.6730117486.

The spelling of 856489984 in words is "eight hundred fifty-six million, four hundred eighty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 1867 2048 3584 3734 4096 7168 7468 8192 13069 14336 14936 16384 26138 28672 29872 32768 52276 57344 59744 65536 104552 114688 119488 209104 229376 238976 418208 458752 477952 836416 955904 1672832 1911808 3345664 3823616 6691328 7647232 13382656 15294464 26765312 30588928 53530624 61177856 107061248 122355712 214122496 428244992 856489984