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116242848 = 2532403621
BaseRepresentation
bin1101110110110…
…11100110100000
322002201202012200
412323123212200
5214224232343
615311253200
72611022301
oct673334640
9262652180
10116242848
115a685a77
1232b1a200
131b10ca67
141161c7a8
15a3124d3
hex6edb9a0

116242848 has 36 divisors (see below), whose sum is σ = 330566418. Its totient is φ = 38747520.

The previous prime is 116242843. The next prime is 116242849. The reversal of 116242848 is 848242611.

116242848 is a `hidden beast` number, since 1 + 1 + 624 + 28 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 78641424 + 37601424 = 8868^2 + 6132^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1162428482 = 27024799422302208, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (116242843) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 201523 + ... + 202098.

Almost surely, 2116242848 is an apocalyptic number.

116242848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

116242848 is an abundant number, since it is smaller than the sum of its proper divisors (214323570).

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

116242848 is a wasteful number, since it uses less digits than its factorization.

116242848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403637 (or 403626 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 116242848 is about 10781.5976552643. The cubic root of 116242848 is about 488.0399949304.

The spelling of 116242848 in words is "one hundred sixteen million, two hundred forty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 403621 807242 1210863 1614484 2421726 3228968 3632589 4843452 6457936 7265178 9686904 12915872 14530356 19373808 29060712 38747616 58121424 116242848