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118085248 = 274122501
BaseRepresentation
bin1110000100111…
…01011010000000
322020012100111201
413002131122000
5220212211443
615414550544
72632464601
oct702353200
9266170451
10118085248
1160724216
1233668454
131b606538
141197bda8
15a57834d
hex709d680

118085248 has 32 divisors (see below), whose sum is σ = 240996420. Its totient is φ = 57600000.

The previous prime is 118085239. The next prime is 118085249. The reversal of 118085248 is 842580811.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 116812864 + 1272384 = 10808^2 + 1128^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (118085249) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 6003 + ... + 16498.

Almost surely, 2118085248 is an apocalyptic number.

It is an amenable number.

118085248 is an abundant number, since it is smaller than the sum of its proper divisors (122911172).

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

118085248 is an equidigital number, since it uses as much as digits as its factorization.

118085248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22556 (or 22544 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 37.

The square root of 118085248 is about 10866.7036400189. The cubic root of 118085248 is about 490.6049005952.

It can be divided in two parts, 11808 and 5248, that multiplied together give a square (61968384 = 78722).

The spelling of 118085248 in words is "one hundred eighteen million, eighty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 1312 2624 5248 22501 45002 90004 180008 360016 720032 922541 1440064 1845082 2880128 3690164 7380328 14760656 29521312 59042624 118085248