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679550112 = 253217138797
BaseRepresentation
bin101000100000010…
…001110010100000
31202100200201111200
4220200101302200
52342431100422
6151233041200
722561036443
oct5040216240
91670621450
10679550112
1131965206a
1216b6b6200
13aaa2c277
146637365a
153e9d32ac
hex28811ca0

679550112 has 72 divisors (see below), whose sum is σ = 2046160116. Its totient is φ = 213190656.

The previous prime is 679550093. The next prime is 679550117. The reversal of 679550112 is 211055976.

679550112 is a `hidden beast` number, since 67 + 95 + 501 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 551498256 + 128051856 = 23484^2 + 11316^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (679550117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64503 + ... + 74294.

Almost surely, 2679550112 is an apocalyptic number.

It is an amenable number.

679550112 is an abundant number, since it is smaller than the sum of its proper divisors (1366610004).

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

679550112 is a wasteful number, since it uses less digits than its factorization.

679550112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138830 (or 138819 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 679550112 is about 26068.1819849410. The cubic root of 679550112 is about 879.1719621473.

The spelling of 679550112 in words is "six hundred seventy-nine million, five hundred fifty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 138797 277594 416391 555188 832782 1110376 1249173 1665564 2220752 2359549 2498346 3331128 4441504 4719098 4996692 6662256 7078647 9438196 9993384 13324512 14157294 18876392 19986768 21235941 28314588 37752784 39973536 42471882 56629176 75505568 84943764 113258352 169887528 226516704 339775056 679550112