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5638464 = 263313251
BaseRepresentation
bin10101100000100101000000
3101121110112000
4111200211000
52420412324
6320504000
765632446
oct25404500
911543460
105638464
113201297
121a7b000
131225590
14a6ab96
157659c9
hex560940

5638464 has 112 divisors (see below), whose sum is σ = 17922240. Its totient is φ = 1728000.

The previous prime is 5638433. The next prime is 5638489. The reversal of 5638464 is 4648365.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22339 + ... + 22589.

It is an arithmetic number, because the mean of its divisors is an integer number (160020).

Almost surely, 25638464 is an apocalyptic number.

5638464 is a gapful number since it is divisible by the number (54) 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 5638464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8961120).

5638464 is an abundant number, since it is smaller than the sum of its proper divisors (12283776).

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

5638464 is a wasteful number, since it uses less digits than its factorization.

5638464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 269 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 5638464 is about 2374.5450090491. The cubic root of 5638464 is about 177.9864484907.

Subtracting from 5638464 its reverse (4648365), we obtain a palindrome (990099).

The spelling of 5638464 in words is "five million, six hundred thirty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 251 288 312 351 416 432 468 502 576 624 702 753 832 864 936 1004 1248 1404 1506 1728 1872 2008 2259 2496 2808 3012 3263 3744 4016 4518 5616 6024 6526 6777 7488 8032 9036 9789 11232 12048 13052 13554 16064 18072 19578 22464 24096 26104 27108 29367 36144 39156 48192 52208 54216 58734 72288 78312 88101 104416 108432 117468 144576 156624 176202 208832 216864 234936 313248 352404 433728 469872 626496 704808 939744 1409616 1879488 2819232 5638464