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5326848 = 21132172
BaseRepresentation
bin10100010100100000000000
3101000122001200
4110110200000
52330424343
6310101200
763164112
oct24244000
911018050
105326848
11300915a
12194a800
1311467a7
149c93b2
157034d3
hex514800

5326848 has 108 divisors (see below), whose sum is σ = 16343145. Its totient is φ = 1671168.

The previous prime is 5326847. The next prime is 5326889. The reversal of 5326848 is 8486235.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 4875264 + 451584 = 2208^2 + 672^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1632.

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

It is not an unprimeable number, because it can be changed into a prime (5326847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 313336 + ... + 313352.

Almost surely, 25326848 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 5326848

5326848 is an abundant number, since it is smaller than the sum of its proper divisors (11016297).

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

5326848 is a wasteful number, since it uses less digits than its factorization.

5326848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 22 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 5326848 is about 2307.9965337929. The cubic root of 5326848 is about 174.6452459665.

The spelling of 5326848 in words is "five million, three hundred twenty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 289 306 384 408 512 544 576 578 612 768 816 867 1024 1088 1152 1156 1224 1536 1632 1734 2048 2176 2304 2312 2448 2601 3072 3264 3468 4352 4608 4624 4896 5202 6144 6528 6936 8704 9216 9248 9792 10404 13056 13872 17408 18432 18496 19584 20808 26112 27744 34816 36992 39168 41616 52224 55488 73984 78336 83232 104448 110976 147968 156672 166464 221952 295936 313344 332928 443904 591872 665856 887808 1331712 1775616 2663424 5326848