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5633838 = 232761733
BaseRepresentation
bin10101011111011100101110
3101121020011200
4111133130232
52420240323
6320430330
765613120
oct25373456
911536150
105633838
1131a8871
121a783a6
131223442
14a69210
15764443
hex55f72e

5633838 has 48 divisors (see below), whose sum is σ = 14198496. Its totient is φ = 1581120.

The previous prime is 5633833. The next prime is 5633867. The reversal of 5633838 is 8383365.

It is a super-2 number, since 2×56338382 = 63480261220488, which contains 22 as substring.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5633833) 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, 7320 + ... + 8052.

It is an arithmetic number, because the mean of its divisors is an integer number (295802).

Almost surely, 25633838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5633838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7099248).

5633838 is an abundant number, since it is smaller than the sum of its proper divisors (8564658).

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

5633838 is a wasteful number, since it uses less digits than its factorization.

5633838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 806 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 5633838 is about 2373.5707278276. The cubic root of 5633838 is about 177.9377596642.

It can be divided in two parts, 563383 and 8, that added together give a triangular number (563391 = T1061).

The spelling of 5633838 in words is "five million, six hundred thirty-three thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 61 63 122 126 183 366 427 549 733 854 1098 1281 1466 2199 2562 3843 4398 5131 6597 7686 10262 13194 15393 30786 44713 46179 89426 92358 134139 268278 312991 402417 625982 804834 938973 1877946 2816919 5633838