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46056144 = 2438591117
BaseRepresentation
bin1010111110110…
…0001011010000
310012122220011010
42233230023100
543242244034
64323050520
71066320321
oct257541320
9105586133
1046056144
1123aa7732
1213510a40
139707274
14618c448
15409b3e9
hex2bec2d0

46056144 has 40 divisors (see below), whose sum is σ = 119223520. Its totient is φ = 15320448.

The previous prime is 46056103. The next prime is 46056151. The reversal of 46056144 is 44165064.

46056144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 40674 + ... + 41790.

It is an arithmetic number, because the mean of its divisors is an integer number (2980588).

Almost surely, 246056144 is an apocalyptic number.

It is an amenable number.

46056144 is an abundant number, since it is smaller than the sum of its proper divisors (73167376).

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

46056144 is a wasteful number, since it uses less digits than its factorization.

46056144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 46056144 is about 6786.4677115566. The cubic root of 46056144 is about 358.4505007627.

The spelling of 46056144 in words is "forty-six million, fifty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 859 1117 1718 2234 2577 3351 3436 4468 5154 6702 6872 8936 10308 13404 13744 17872 20616 26808 41232 53616 959503 1919006 2878509 3838012 5757018 7676024 11514036 15352048 23028072 46056144