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5538304 = 2929373
BaseRepresentation
bin10101001000001000000000
3101102101010101
4111020020000
52404211204
6314412144
765034442
oct25101000
911371111
105538304
113143012
121a31054
1311bbb05
14a42492
15745ea4
hex548200

5538304 has 40 divisors (see below), whose sum is σ = 11478060. Its totient is φ = 2666496.

The previous prime is 5538301. The next prime is 5538317. The reversal of 5538304 is 4038355.

It can be written as a sum of positive squares in 2 ways, for example, as 5531904 + 6400 = 2352^2 + 80^2 .

It is a super-2 number, since 2×55383042 = 61345622392832, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5538301) 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 3 ways as a sum of consecutive naturals, for example, 14662 + ... + 15034.

Almost surely, 25538304 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 5538304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5739030).

5538304 is an abundant number, since it is smaller than the sum of its proper divisors (5939756).

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

5538304 is an equidigital number, since it uses as much as digits as its factorization.

5538304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 5538304 is about 2353.3601509331. The cubic root of 5538304 is about 176.9262463103.

The spelling of 5538304 in words is "five million, five hundred thirty-eight thousand, three hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 373 464 512 746 928 1492 1856 2984 3712 5968 7424 10817 11936 14848 21634 23872 43268 47744 86536 95488 173072 190976 346144 692288 1384576 2769152 5538304