Search a number
-
+
289961856 = 273427967
BaseRepresentation
bin10001010010000…
…111011110000000
3202012121120220000
4101102013132000
51043212234411
644434520000
710120430562
oct2122073600
9665546800
10289961856
111397486a8
1281136000
13480c4a82
142a71d332
151a6c9956
hex11487780

289961856 has 80 divisors (see below), whose sum is σ = 862952640. Its totient is φ = 96650496.

The previous prime is 289961821. The next prime is 289961891. The reversal of 289961856 is 658169982.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (289961821) and next prime (289961891).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 3616 + ... + 24351.

It is an arithmetic number, because the mean of its divisors is an integer number (10786908).

Almost surely, 2289961856 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 289961856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431476320).

289961856 is an abundant number, since it is smaller than the sum of its proper divisors (572990784).

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

289961856 is an equidigital number, since it uses as much as digits as its factorization.

289961856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27993 (or 27972 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The square root of 289961856 is about 17028.2663826944. The cubic root of 289961856 is about 661.8815729351.

The spelling of 289961856 in words is "two hundred eighty-nine million, nine hundred sixty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 27967 55934 83901 111868 167802 223736 251703 335604 447472 503406 671208 755109 894944 1006812 1342416 1510218 1789888 2013624 2265327 2684832 3020436 3579776 4027248 4530654 5369664 6040872 8054496 9061308 10739328 12081744 16108992 18122616 24163488 32217984 36245232 48326976 72490464 96653952 144980928 289961856