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5893344 = 253319359
BaseRepresentation
bin10110011110110011100000
3102002102011000
4112132303200
53002041334
6330152000
7101043522
oct26366340
912072130
105893344
113365836
121b82600
1312b45b2
14ad5a12
157b6299
hex59ece0

5893344 has 96 divisors (see below), whose sum is σ = 18144000. Its totient is φ = 1855872.

The previous prime is 5893343. The next prime is 5893357. The reversal of 5893344 is 4433985.

5893344 is a `hidden beast` number, since 589 + 33 + 44 = 666.

5893344 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5893299 and 5893308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5893343) 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, 16237 + ... + 16595.

It is an arithmetic number, because the mean of its divisors is an integer number (189000).

Almost surely, 25893344 is an apocalyptic number.

5893344 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 5893344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9072000).

5893344 is an abundant number, since it is smaller than the sum of its proper divisors (12250656).

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

5893344 is a wasteful number, since it uses less digits than its factorization.

5893344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 383 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 5893344 is about 2427.6210577436. The cubic root of 5893344 is about 180.6289111672.

The spelling of 5893344 in words is "five million, eight hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 359 432 456 513 608 684 718 864 912 1026 1077 1368 1436 1824 2052 2154 2736 2872 3231 4104 4308 5472 5744 6462 6821 8208 8616 9693 11488 12924 13642 16416 17232 19386 20463 25848 27284 34464 38772 40926 51696 54568 61389 77544 81852 103392 109136 122778 155088 163704 184167 218272 245556 310176 327408 368334 491112 654816 736668 982224 1473336 1964448 2946672 5893344