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5730208 = 251173223
BaseRepresentation
bin10101110110111110100000
3101210010100221
4111312332200
52431331313
6322452424
766464101
oct25667640
911703327
105730208
113264210
121b04114
131258273
14a923a8
15782c8d
hex576fa0

5730208 has 48 divisors (see below), whose sum is σ = 12531456. Its totient is φ = 2557440.

The previous prime is 5730181. The next prime is 5730211. The reversal of 5730208 is 8020375.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25585 + ... + 25807.

It is an arithmetic number, because the mean of its divisors is an integer number (261072).

Almost surely, 25730208 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 5730208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6265728).

5730208 is an abundant number, since it is smaller than the sum of its proper divisors (6801248).

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

5730208 is a wasteful number, since it uses less digits than its factorization.

5730208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 5730208 is about 2393.7852869462. The cubic root of 5730208 is about 178.9466045496.

The spelling of 5730208 in words is "five million, seven hundred thirty thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 73 88 146 176 223 292 352 446 584 803 892 1168 1606 1784 2336 2453 3212 3568 4906 6424 7136 9812 12848 16279 19624 25696 32558 39248 65116 78496 130232 179069 260464 358138 520928 716276 1432552 2865104 5730208