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46149114 = 23115379167
BaseRepresentation
bin1011000000001…
…0110111111010
310012211121200110
42300002313322
543303232424
64325045150
71100155344
oct260026772
9105747613
1046149114
1124060570
12135567b6
13973a68b
1461b4294
1540b8c29
hex2c02dfa

46149114 has 64 divisors (see below), whose sum is σ = 104509440. Its totient is φ = 13465920.

The previous prime is 46149113. The next prime is 46149127. The reversal of 46149114 is 41194164.

46149114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (46149113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276259 + ... + 276425.

It is an arithmetic number, because the mean of its divisors is an integer number (1632960).

Almost surely, 246149114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46149114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52254720).

46149114 is an abundant number, since it is smaller than the sum of its proper divisors (58360326).

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

46149114 is a wasteful number, since it uses less digits than its factorization.

46149114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315.

The product of its digits is 3456, while the sum is 30.

The square root of 46149114 is about 6793.3139188470. The cubic root of 46149114 is about 358.6915308161.

The spelling of 46149114 in words is "forty-six million, one hundred forty-nine thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 22 33 53 66 79 106 158 159 167 237 318 334 474 501 583 869 1002 1166 1738 1749 1837 2607 3498 3674 4187 5214 5511 8374 8851 11022 12561 13193 17702 25122 26386 26553 39579 46057 53106 79158 92114 97361 138171 145123 194722 276342 290246 292083 435369 584166 699229 870738 1398458 2097687 4195374 7691519 15383038 23074557 46149114