Search a number
-
+
859980912 = 24376738201
BaseRepresentation
bin110011010000100…
…100010001110000
32012221012120000220
4303100210101300
53230123342122
6221200213040
730211500660
oct6320442160
92187176026
10859980912
1140148942a
1220000a180
1310922425b
14823001a0
155077425c
hex33424470

859980912 has 80 divisors (see below), whose sum is σ = 2576954112. Its totient is φ = 242035200.

The previous prime is 859980893. The next prime is 859980917. The reversal of 859980912 is 219089958.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (859980917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3412 + ... + 41612.

Almost surely, 2859980912 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 859980912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288477056).

859980912 is an abundant number, since it is smaller than the sum of its proper divisors (1716973200).

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

859980912 is a wasteful number, since it uses less digits than its factorization.

859980912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38286 (or 38280 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 51.

The square root of 859980912 is about 29325.4311477257. The cubic root of 859980912 is about 950.9615055609.

The spelling of 859980912 in words is "eight hundred fifty-nine million, nine hundred eighty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 67 84 112 134 168 201 268 336 402 469 536 804 938 1072 1407 1608 1876 2814 3216 3752 5628 7504 11256 22512 38201 76402 114603 152804 229206 267407 305608 458412 534814 611216 802221 916824 1069628 1604442 1833648 2139256 2559467 3208884 4278512 5118934 6417768 7678401 10237868 12835536 15356802 17916269 20475736 30713604 35832538 40951472 53748807 61427208 71665076 107497614 122854416 143330152 214995228 286660304 429990456 859980912