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5798208 = 2631323101
BaseRepresentation
bin10110000111100101000000
3101220120122110
4112013211000
52441020313
6324135320
7100166253
oct26074500
911816573
105798208
113300309
121b37540
1312801c0
14aad09a
15797ec3
hex587940

5798208 has 112 divisors (see below), whose sum is σ = 17410176. Its totient is φ = 1689600.

The previous prime is 5798203. The next prime is 5798213. The reversal of 5798208 is 8028975.

5798208 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5798203) and next prime (5798213).

It is a super-2 number, since 2×57982082 = 67238432022528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5798201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57358 + ... + 57458.

It is an arithmetic number, because the mean of its divisors is an integer number (155448).

Almost surely, 25798208 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 5798208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8705088).

5798208 is an abundant number, since it is smaller than the sum of its proper divisors (11611968).

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

5798208 is a wasteful number, since it uses less digits than its factorization.

5798208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 5798208 is about 2407.9468432671. The cubic root of 5798208 is about 179.6516720451.

It can be divided in two parts, 5798 and 208, that added together give a palindrome (6006).

The spelling of 5798208 in words is "five million, seven hundred ninety-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 64 69 78 92 96 101 104 138 156 184 192 202 208 276 299 303 312 368 404 416 552 598 606 624 736 808 832 897 1104 1196 1212 1248 1313 1472 1616 1794 2208 2323 2392 2424 2496 2626 3232 3588 3939 4416 4646 4784 4848 5252 6464 6969 7176 7878 9292 9568 9696 10504 13938 14352 15756 18584 19136 19392 21008 27876 28704 30199 31512 37168 42016 55752 57408 60398 63024 74336 84032 90597 111504 120796 126048 148672 181194 223008 241592 252096 362388 446016 483184 724776 966368 1449552 1932736 2899104 5798208