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5810208 = 253292087
BaseRepresentation
bin10110001010100000100000
3101221012002220
4112022200200
52441411313
6324311040
7100246245
oct26124040
911835086
105810208
113309328
121b42480
1312857c1
14ab35cc
1579b823
hex58a820

5810208 has 48 divisors (see below), whose sum is σ = 15785280. Its totient is φ = 1869056.

The previous prime is 5810201. The next prime is 5810251. The reversal of 5810208 is 8020185.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5810201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1741 + ... + 3827.

It is an arithmetic number, because the mean of its divisors is an integer number (328860).

Almost surely, 25810208 is an apocalyptic number.

5810208 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

5810208 is the 1392-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5810208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7892640).

5810208 is an abundant number, since it is smaller than the sum of its proper divisors (9975072).

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

5810208 is a wasteful number, since it uses less digits than its factorization.

5810208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 5810208 is about 2410.4373047229. The cubic root of 5810208 is about 179.7755226406.

The spelling of 5810208 in words is "five million, eight hundred ten thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2087 2784 4174 6261 8348 12522 16696 25044 33392 50088 60523 66784 100176 121046 181569 200352 242092 363138 484184 726276 968368 1452552 1936736 2905104 5810208