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114946048 = 212719211
BaseRepresentation
bin1101101100111…
…11000000000000
322000021212100001
412312133000000
5213411233143
615223405344
72564011450
oct666370000
9260255301
10114946048
115997a738
12325b3854
131aa77719
14113a1d60
15a15814d
hex6d9f000

114946048 has 104 divisors (see below), whose sum is σ = 277838720. Its totient is φ = 46448640.

The previous prime is 114946031. The next prime is 114946057. The reversal of 114946048 is 840649411.

It is a junction number, because it is equal to n+sod(n) for n = 114945998 and 114946016.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 544663 + ... + 544873.

Almost surely, 2114946048 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 114946048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138919360).

114946048 is an abundant number, since it is smaller than the sum of its proper divisors (162892672).

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

114946048 is an equidigital number, since it uses as much as digits as its factorization.

114946048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 114946048 is about 10721.2894746854. The cubic root of 114946048 is about 486.2183532248.

Subtracting from 114946048 its product of nonzero digits (27648), we obtain a square (114918400 = 107202).

The spelling of 114946048 in words is "one hundred fourteen million, nine hundred forty-six thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 211 224 256 266 304 422 448 512 532 608 844 896 1024 1064 1216 1477 1688 1792 2048 2128 2432 2954 3376 3584 4009 4096 4256 4864 5908 6752 7168 8018 8512 9728 11816 13504 14336 16036 17024 19456 23632 27008 28063 28672 32072 34048 38912 47264 54016 56126 64144 68096 77824 94528 108032 112252 128288 136192 189056 216064 224504 256576 272384 378112 432128 449008 513152 544768 756224 864256 898016 1026304 1512448 1796032 2052608 3024896 3592064 4105216 6049792 7184128 8210432 14368256 16420864 28736512 57473024 114946048