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5705208 = 233361433
BaseRepresentation
bin10101110000110111111000
3101201212002000
4111300313320
52430031313
6322141000
766331155
oct25606770
911655060
105705208
113247453
121ab1760
131249a82
14a8722c
1577a673
hex570df8

5705208 has 64 divisors (see below), whose sum is σ = 16144800. Its totient is φ = 1866240.

The previous prime is 5705201. The next prime is 5705213. The reversal of 5705208 is 8025075.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5705201) 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 15 ways as a sum of consecutive naturals, for example, 12960 + ... + 13392.

Almost surely, 25705208 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 5705208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8072400).

5705208 is an abundant number, since it is smaller than the sum of its proper divisors (10439592).

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

5705208 is a wasteful number, since it uses less digits than its factorization.

5705208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 5705208 is about 2388.5577238158. The cubic root of 5705208 is about 178.6859865002.

It can be divided in two parts, 570 and 5208, that added together give a triangular number (5778 = T107).

The spelling of 5705208 in words is "five million, seven hundred five thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 183 216 244 366 433 488 549 732 866 1098 1299 1464 1647 1732 2196 2598 3294 3464 3897 4392 5196 6588 7794 10392 11691 13176 15588 23382 26413 31176 46764 52826 79239 93528 105652 158478 211304 237717 316956 475434 633912 713151 950868 1426302 1901736 2852604 5705208