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5638032 = 243331421
BaseRepresentation
bin10101100000011110010000
3101121102221000
4111200132100
52420404112
6320502000
765631261
oct25403620
911542830
105638032
113200a34
121a7a900
13122531a
14a6a968
157657dc
hex560790

5638032 has 80 divisors (see below), whose sum is σ = 16744960. Its totient is φ = 1814400.

The previous prime is 5638021. The next prime is 5638037. The reversal of 5638032 is 2308365.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5637987 and 5638005.

It is not an unprimeable number, because it can be changed into a prime (5638037) 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, 13182 + ... + 13602.

It is an arithmetic number, because the mean of its divisors is an integer number (209312).

Almost surely, 25638032 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 5638032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8372480).

5638032 is an abundant number, since it is smaller than the sum of its proper divisors (11106928).

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

5638032 is a wasteful number, since it uses less digits than its factorization.

5638032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5638032 is about 2374.4540425117. The cubic root of 5638032 is about 177.9819028018.

The spelling of 5638032 in words is "five million, six hundred thirty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 421 432 496 558 744 837 842 1116 1263 1488 1674 1684 2232 2526 3348 3368 3789 4464 5052 6696 6736 7578 10104 11367 13051 13392 15156 20208 22734 26102 30312 39153 45468 52204 60624 78306 90936 104408 117459 156612 181872 208816 234918 313224 352377 469836 626448 704754 939672 1409508 1879344 2819016 5638032