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705055568 = 24731613329
BaseRepresentation
bin101010000001100…
…100101101010000
31211010200112102012
4222001210231100
52420443234233
6153543442052
723320605410
oct5201445520
91733615365
10705055568
11331a92758
12178156328
13b30bc559
14698d2640
1541d70548
hex2a064b50

705055568 has 80 divisors (see below), whose sum is σ = 1638466560. Its totient is φ = 287539200.

The previous prime is 705055541. The next prime is 705055573. The reversal of 705055568 is 865550507.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 210128 + ... + 213456.

It is an arithmetic number, because the mean of its divisors is an integer number (20480832).

Almost surely, 2705055568 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 705055568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819233280).

705055568 is an abundant number, since it is smaller than the sum of its proper divisors (933410992).

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

705055568 is a wasteful number, since it uses less digits than its factorization.

705055568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3436 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 210000, while the sum is 41.

The square root of 705055568 is about 26552.8824800623. The cubic root of 705055568 is about 890.0364282527.

The spelling of 705055568 in words is "seven hundred five million, fifty-five thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 56 61 62 112 122 124 217 244 248 427 434 488 496 854 868 976 1708 1736 1891 3329 3416 3472 3782 6658 6832 7564 13237 13316 15128 23303 26474 26632 30256 46606 52948 53264 93212 103199 105896 186424 203069 206398 211792 372848 406138 412796 722393 812276 825592 1421483 1444786 1624552 1651184 2842966 2889572 3249104 5685932 5779144 6295139 11371864 11558288 12590278 22743728 25180556 44065973 50361112 88131946 100722224 176263892 352527784 705055568