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2861689428 = 22321313744633
BaseRepresentation
bin1010101010010001…
…1110101001010100
321101102202212220100
42222210132221110
521330043030203
61151543534100
7130625646603
oct25244365124
97342685810
102861689428
111239392694
1267a45a330
13367b49170
141d20c1a3a
1511b372ea3
hexaa91ea54

2861689428 has 72 divisors (see below), whose sum is σ = 7847192808. Its totient is φ = 874073088.

The previous prime is 2861689421. The next prime is 2861689471. The reversal of 2861689428 is 8249861682.

It can be written as a sum of positive squares in 4 ways, for example, as 559417104 + 2302272324 = 23652^2 + 47982^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2861689421) 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, 41800 + ... + 86432.

It is an arithmetic number, because the mean of its divisors is an integer number (108988789).

Almost surely, 22861689428 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 2861689428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3923596404).

2861689428 is an abundant number, since it is smaller than the sum of its proper divisors (4985503380).

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

2861689428 is a wasteful number, since it uses less digits than its factorization.

2861689428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44793 (or 44788 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 2861689428 is about 53494.7607528064. The cubic root of 2861689428 is about 1419.7356890851.

The spelling of 2861689428 in words is "two billion, eight hundred sixty-one million, six hundred eighty-nine thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 137 156 234 274 411 468 548 822 1233 1644 1781 2466 3562 4932 5343 7124 10686 16029 21372 32058 44633 64116 89266 133899 178532 267798 401697 535596 580229 803394 1160458 1606788 1740687 2320916 3481374 5222061 6114721 6962748 10444122 12229442 18344163 20888244 24458884 36688326 55032489 73376652 79491373 110064978 158982746 220129956 238474119 317965492 476948238 715422357 953896476 1430844714 2861689428