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5845896 = 2332721657
BaseRepresentation
bin10110010011001110001000
3102000000001200
4112103032020
52444032041
6325144200
7100455300
oct26231610
912000050
105845896
113333121
121b5b060
131298b14
14ac2600
157a71b6
hex593388

5845896 has 72 divisors (see below), whose sum is σ = 18428670. Its totient is φ = 1669248.

The previous prime is 5845891. The next prime is 5845919. The reversal of 5845896 is 6985485.

It can be written as a sum of positive squares in only one way, i.e., 5336100 + 509796 = 2310^2 + 714^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5845891) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2700 + ... + 4356.

Almost surely, 25845896 is an apocalyptic number.

5845896 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5845896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9214335).

5845896 is an abundant number, since it is smaller than the sum of its proper divisors (12582774).

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

5845896 is a wasteful number, since it uses less digits than its factorization.

5845896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683 (or 1669 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 5845896 is about 2417.8287780569. The cubic root of 5845896 is about 180.1428495663.

It can be divided in two parts, 58 and 45896, that added together give a palindrome (45954).

The spelling of 5845896 in words is "five million, eight hundred forty-five thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1657 1764 3314 3528 4971 6628 9942 11599 13256 14913 19884 23198 29826 34797 39768 46396 59652 69594 81193 92792 104391 119304 139188 162386 208782 243579 278376 324772 417564 487158 649544 730737 835128 974316 1461474 1948632 2922948 5845896