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5838432 = 25361997
BaseRepresentation
bin10110010001011001100000
3101222121211020
4112101121200
52443312212
6325045440
7100424445
oct26213140
911877736
105838432
113328556
121b56880
1312955c2
14abd9cc
157a4d8c
hex591660

5838432 has 48 divisors (see below), whose sum is σ = 15592752. Its totient is φ = 1912320.

The previous prime is 5838431. The next prime is 5838433. The reversal of 5838432 is 2348385.

It is an interprime number because it is at equal distance from previous prime (5838431) and next prime (5838433).

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 5838393 and 5838402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5838431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5358 + ... + 6354.

It is an arithmetic number, because the mean of its divisors is an integer number (324849).

Almost surely, 25838432 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 5838432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7796376).

5838432 is an abundant number, since it is smaller than the sum of its proper divisors (9754320).

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

5838432 is a wasteful number, since it uses less digits than its factorization.

5838432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1063 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 5838432 is about 2416.2847514314. The cubic root of 5838432 is about 180.0661485275.

The spelling of 5838432 in words is "five million, eight hundred thirty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 997 1464 1952 1994 2928 2991 3988 5856 5982 7976 11964 15952 23928 31904 47856 60817 95712 121634 182451 243268 364902 486536 729804 973072 1459608 1946144 2919216 5838432