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5808100 = 22522412
BaseRepresentation
bin10110001001111111100100
3101221002012211
4112021333210
52441324400
6324253204
7100240144
oct26117744
911832184
105808100
113307791
121b41204
13128485c
14ab2924
1579adba
hex589fe4

5808100 has 27 divisors (see below), whose sum is σ = 12656091. Its totient is φ = 2313600.

The previous prime is 5808097. The next prime is 5808107. The reversal of 5808100 is 18085.

The square root of 5808100 is 2410.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 86436 + 5721664 = 294^2 + 2392^2 .

It is a super-2 number, since 2×58081002 = 67468051220000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5808107) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 23980 + ... + 24220.

Almost surely, 25808100 is an apocalyptic number.

5808100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5808100 is the 2410-th square number.

It is an amenable number.

5808100 is an abundant number, since it is smaller than the sum of its proper divisors (6847991).

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

5808100 is a wasteful number, since it uses less digits than its factorization.

5808100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The cubic root of 5808100 is about 179.7537785744.

The spelling of 5808100 in words is "five million, eight hundred eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 241 482 964 1205 2410 4820 6025 12050 24100 58081 116162 232324 290405 580810 1161620 1452025 2904050 5808100