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5633344 = 26234389
BaseRepresentation
bin10101011111010101000000
3101121012111101
4111133111000
52420231334
6320424144
765611513
oct25372500
911535441
105633344
1131a8462
121a78054
131223152
14a68d7a
15764214
hex55f540

5633344 has 56 divisors (see below), whose sum is σ = 12070080. Its totient is φ = 2601984.

The previous prime is 5633333. The next prime is 5633347. The reversal of 5633344 is 4433365.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5633347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63252 + ... + 63340.

Almost surely, 25633344 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 5633344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6035040).

5633344 is an abundant number, since it is smaller than the sum of its proper divisors (6436736).

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

5633344 is a wasteful number, since it uses less digits than its factorization.

5633344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 157 counting only the distinct ones).

The product of its digits is 12960, while the sum is 28.

The square root of 5633344 is about 2373.4666629216. The cubic root of 5633344 is about 177.9325587205.

The spelling of 5633344 in words is "five million, six hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 23 32 43 46 64 86 89 92 172 178 184 344 356 368 688 712 736 989 1376 1424 1472 1978 2047 2752 2848 3827 3956 4094 5696 7654 7912 8188 15308 15824 16376 30616 31648 32752 61232 63296 65504 88021 122464 131008 176042 244928 352084 704168 1408336 2816672 5633344