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5760258 = 237236789
BaseRepresentation
bin10101111110010100000010
3101211122120220
4111332110002
52433312013
6323243510
766650520
oct25762402
911748526
105760258
113284849
121b19596
131268b4a
14a9d310
1578bb23
hex57e502

5760258 has 64 divisors (see below), whose sum is σ = 14100480. Its totient is φ = 1533312.

The previous prime is 5760247. The next prime is 5760259. The reversal of 5760258 is 8520675.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5760259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64678 + ... + 64766.

It is an arithmetic number, because the mean of its divisors is an integer number (220320).

Almost surely, 25760258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5760258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7050240).

5760258 is an abundant number, since it is smaller than the sum of its proper divisors (8340222).

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

5760258 is a wasteful number, since it uses less digits than its factorization.

5760258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191.

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 5760258 is about 2400.0537493981. The cubic root of 5760258 is about 179.2588662168.

The spelling of 5760258 in words is "five million, seven hundred sixty thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 7 14 21 23 42 46 67 69 89 134 138 161 178 201 267 322 402 469 483 534 623 938 966 1246 1407 1541 1869 2047 2814 3082 3738 4094 4623 5963 6141 9246 10787 11926 12282 14329 17889 21574 28658 32361 35778 41741 42987 64722 83482 85974 125223 137149 250446 274298 411447 822894 960043 1920086 2880129 5760258