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118825056 = 253573759
BaseRepresentation
bin1110001010100…
…10000001100000
322021120221100000
413011102001200
5220404400211
615442500000
72641665510
oct705220140
9267527300
10118825056
116108a029
1233964600
131b8051ac
1411ad1840
15a672656
hex7152060

118825056 has 288 divisors, whose sum is σ = 418279680. Its totient is φ = 32472576.

The previous prime is 118825013. The next prime is 118825067. The reversal of 118825056 is 650528811.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 118825056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2013955 + ... + 2014013.

It is an arithmetic number, because the mean of its divisors is an integer number (1452360).

Almost surely, 2118825056 is an apocalyptic number.

118825056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118825056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209139840).

118825056 is an abundant number, since it is smaller than the sum of its proper divisors (299454624).

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

118825056 is an equidigital number, since it uses as much as digits as its factorization.

118825056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 118825056 is about 10900.6906203231. The cubic root of 118825056 is about 491.6273203918.

It can be divided in two parts, 1188 and 25056, that added together give a square (26244 = 1622).

The spelling of 118825056 in words is "one hundred eighteen million, eight hundred twenty-five thousand, fifty-six".