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5783232 = 263713331
BaseRepresentation
bin10110000011111011000000
3101212211002210
4112003323000
52440030412
6323542120
7100104510
oct26037300
911784083
105783232
1132a0034
121b2a940
131276440
14aa7840
1579383c
hex583ec0

5783232 has 112 divisors (see below), whose sum is σ = 18889472. Its totient is φ = 1520640.

The previous prime is 5783207. The next prime is 5783233. The reversal of 5783232 is 2323875.

It is a tau number, because it is divible by the number of its divisors (112).

It is a d-powerful number, because it can be written as 55 + 78 + 8 + 38 + 27 + 38 + 211 .

It is a self number, because there is not a number n which added to its sum of digits gives 5783232.

It is not an unprimeable number, because it can be changed into a prime (5783233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17307 + ... + 17637.

It is an arithmetic number, because the mean of its divisors is an integer number (168656).

Almost surely, 25783232 is an apocalyptic number.

5783232 is a gapful number since it is divisible by the number (52) 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 5783232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9444736).

5783232 is an abundant number, since it is smaller than the sum of its proper divisors (13106240).

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

5783232 is a wasteful number, since it uses less digits than its factorization.

5783232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 356 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 5783232 is about 2404.8351294839. The cubic root of 5783232 is about 179.4968665639.

The spelling of 5783232 in words is "five million, seven hundred eighty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 331 336 364 416 448 546 624 662 672 728 832 993 1092 1248 1324 1344 1456 1986 2184 2317 2496 2648 2912 3972 4303 4368 4634 5296 5824 6951 7944 8606 8736 9268 10592 12909 13902 15888 17212 17472 18536 21184 25818 27804 30121 31776 34424 37072 51636 55608 60242 63552 68848 74144 90363 103272 111216 120484 137696 148288 180726 206544 222432 240968 275392 361452 413088 444864 481936 722904 826176 963872 1445808 1927744 2891616 5783232