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5344896 = 27331449
BaseRepresentation
bin10100011000111010000000
3101001112211010
4110120322000
52332014041
6310320520
763300534
oct24307200
911045733
105344896
113020777
121959140
131151a7b
149d1bc4
15708a16
hex518e80

5344896 has 64 divisors (see below), whose sum is σ = 14688000. Its totient is φ = 1720320.

The previous prime is 5344879. The next prime is 5344907. The reversal of 5344896 is 6984435.

5344896 is digitally balanced in base 5, 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 (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11680 + ... + 12128.

It is an arithmetic number, because the mean of its divisors is an integer number (229500).

Almost surely, 25344896 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 5344896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7344000).

5344896 is an abundant number, since it is smaller than the sum of its proper divisors (9343104).

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

5344896 is a wasteful number, since it uses less digits than its factorization.

5344896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 485 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 5344896 is about 2311.9031121567. The cubic root of 5344896 is about 174.8422633085.

The spelling of 5344896 in words is "five million, three hundred forty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 449 496 744 898 992 1347 1488 1796 1984 2694 2976 3592 3968 5388 5952 7184 10776 11904 13919 14368 21552 27838 28736 41757 43104 55676 57472 83514 86208 111352 167028 172416 222704 334056 445408 668112 890816 1336224 1781632 2672448 5344896