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5345568 = 253323269
BaseRepresentation
bin10100011001000100100000
3101001120202000
4110121010200
52332024233
6310324000
763302514
oct24310440
911046660
105345568
113021228
121959600
131152177
149d2144
15708d13
hex519120

5345568 has 96 divisors (see below), whose sum is σ = 16329600. Its totient is φ = 1698048.

The previous prime is 5345567. The next prime is 5345569. The reversal of 5345568 is 8655435.

5345568 is a `hidden beast` number, since 53 + 45 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (5345567) and next prime (5345569).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5345563) 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 15 ways as a sum of consecutive naturals, for example, 19738 + ... + 20006.

It is an arithmetic number, because the mean of its divisors is an integer number (170100).

Almost surely, 25345568 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 5345568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8164800).

5345568 is an abundant number, since it is smaller than the sum of its proper divisors (10984032).

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

5345568 is a wasteful number, since it uses less digits than its factorization.

5345568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 297 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 5345568 is about 2312.0484423991. The cubic root of 5345568 is about 174.8495904905.

The spelling of 5345568 in words is "five million, three hundred forty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 269 276 288 368 414 432 538 552 621 736 807 828 864 1076 1104 1242 1614 1656 2152 2208 2421 2484 3228 3312 4304 4842 4968 6187 6456 6624 7263 8608 9684 9936 12374 12912 14526 18561 19368 19872 24748 25824 29052 37122 38736 49496 55683 58104 74244 77472 98992 111366 116208 148488 167049 197984 222732 232416 296976 334098 445464 593952 668196 890928 1336392 1781856 2672784 5345568