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707568768 = 27326110069
BaseRepresentation
bin101010001011001…
…010010010000000
31211022102012212200
4222023022102000
52422114200033
6154113353200
723351143464
oct5213122200
91738365780
10707568768
11333449985
12178b68800
13b378c45a
1469d884a4
15421ba013
hex2a2ca480

707568768 has 96 divisors (see below), whose sum is σ = 2069687100. Its totient is φ = 231966720.

The previous prime is 707568751. The next prime is 707568791. The reversal of 707568768 is 867865707.

707568768 is a `hidden beast` number, since 7 + 0 + 7 + 568 + 76 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 584092224 + 123476544 = 24168^2 + 11112^2 .

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

It is a super-2 number, since 2×7075687682 = 1001307122898075648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65238 + ... + 75306.

Almost surely, 2707568768 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 707568768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034843550).

707568768 is an abundant number, since it is smaller than the sum of its proper divisors (1362118332).

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

707568768 is a wasteful number, since it uses less digits than its factorization.

707568768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10150 (or 10135 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The square root of 707568768 is about 26600.1648115195. The cubic root of 707568768 is about 891.0926982047.

It can be divided in two parts, 70756 and 8768, that added together give a square (79524 = 2822).

The spelling of 707568768 in words is "seven hundred seven million, five hundred sixty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 288 366 384 488 549 576 732 976 1098 1152 1464 1952 2196 2928 3904 4392 5856 7808 8784 10069 11712 17568 20138 23424 30207 35136 40276 60414 70272 80552 90621 120828 161104 181242 241656 322208 362484 483312 614209 644416 724968 966624 1228418 1288832 1449936 1842627 1933248 2456836 2899872 3685254 3866496 4913672 5527881 5799744 7370508 9827344 11055762 11599488 14741016 19654688 22111524 29482032 39309376 44223048 58964064 78618752 88446096 117928128 176892192 235856256 353784384 707568768