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855726084 = 2232293722153
BaseRepresentation
bin110011000000010…
…101100000000100
32012122012101111200
4303000111200010
53223031213314
6220525102500
730130360143
oct6300254004
92178171450
10855726084
113aa042744
121ba6b7a30
131083946c5
148191375a
15501d3709
hex33015804

855726084 has 72 divisors (see below), whose sum is σ = 2298255960. Its totient is φ = 267950592.

The previous prime is 855726083. The next prime is 855726089. The reversal of 855726084 is 480627558.

It can be written as a sum of positive squares in 4 ways, for example, as 105513984 + 750212100 = 10272^2 + 27390^2 .

It is not an unprimeable number, because it can be changed into a prime (855726083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27552 + ... + 49704.

Almost surely, 2855726084 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 855726084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149127980).

855726084 is an abundant number, since it is smaller than the sum of its proper divisors (1442529876).

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

855726084 is a wasteful number, since it uses less digits than its factorization.

855726084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22229 (or 22224 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 855726084 is about 29252.7961740412. The cubic root of 855726084 is about 949.3905912451.

The spelling of 855726084 in words is "eight hundred fifty-five million, seven hundred twenty-six thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 37 58 74 87 111 116 148 174 222 261 333 348 444 522 666 1044 1073 1332 2146 3219 4292 6438 9657 12876 19314 22153 38628 44306 66459 88612 132918 199377 265836 398754 642437 797508 819661 1284874 1639322 1927311 2458983 2569748 3278644 3854622 4917966 5781933 7376949 7709244 9835932 11563866 14753898 23127732 23770169 29507796 47540338 71310507 95080676 142621014 213931521 285242028 427863042 855726084