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679049568 = 2534534943
BaseRepresentation
bin101000011110010…
…111100101100000
31202022202021220000
4220132113211200
52342314041233
6151214220000
722553553231
oct5036274540
91668667800
10679049568
1131933aa9a
1216b4b4600
13aa8b54a2
1466283088
153e934d13
hex28797960

679049568 has 120 divisors (see below), whose sum is σ = 2035158048. Its totient is φ = 222034176.

The previous prime is 679049557. The next prime is 679049573. The reversal of 679049568 is 865940976.

679049568 is a `hidden beast` number, since 6 + 7 + 90 + 495 + 68 = 666.

It is a super-2 number, since 2×6790495682 = 922216631601973248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 134905 + ... + 139847.

Almost surely, 2679049568 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 679049568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017579024).

679049568 is an abundant number, since it is smaller than the sum of its proper divisors (1356108480).

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

679049568 is a wasteful number, since it uses less digits than its factorization.

679049568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5018 (or 5001 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 679049568 is about 26058.5795468594. The cubic root of 679049568 is about 878.9560485426.

The spelling of 679049568 in words is "six hundred seventy-nine million, forty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 72 81 96 106 108 144 159 162 212 216 288 318 324 424 432 477 636 648 848 864 954 1272 1296 1431 1696 1908 2544 2592 2862 3816 4293 4943 5088 5724 7632 8586 9886 11448 14829 15264 17172 19772 22896 29658 34344 39544 44487 45792 59316 68688 79088 88974 118632 133461 137376 158176 177948 237264 261979 266922 355896 400383 474528 523958 533844 711792 785937 800766 1047916 1067688 1423584 1571874 1601532 2095832 2135376 2357811 3143748 3203064 4191664 4270752 4715622 6287496 6406128 7073433 8383328 9431244 12574992 12812256 14146866 18862488 21220299 25149984 28293732 37724976 42440598 56587464 75449952 84881196 113174928 169762392 226349856 339524784 679049568