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46680953 = 112385793
BaseRepresentation
bin1011001000010…
…0101101111001
310020211122020012
42302010231321
543422242303
64344311305
71104532034
oct262045571
9106748205
1046680953
1124394100
1213772535
139895787
1462b201b
1541715d8
hex2c84b79

46680953 has 6 divisors (see below), whose sum is σ = 51310602. Its totient is φ = 42437120.

The previous prime is 46680941. The next prime is 46680971. The reversal of 46680953 is 35908664.

46680953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 44729344 + 1951609 = 6688^2 + 1397^2 .

It is not a de Polignac number, because 46680953 - 26 = 46680889 is a prime.

It is a super-2 number, since 2×466809532 = 4358222745976418, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 46680953.

It is not an unprimeable number, because it can be changed into a prime (46680913) 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 5 ways as a sum of consecutive naturals, for example, 192776 + ... + 193017.

It is an arithmetic number, because the mean of its divisors is an integer number (8551767).

Almost surely, 246680953 is an apocalyptic number.

It is an amenable number.

46680953 is a deficient number, since it is larger than the sum of its proper divisors (4629649).

46680953 is a wasteful number, since it uses less digits than its factorization.

46680953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385815 (or 385804 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 46680953 is about 6832.3460831547. The cubic root of 46680953 is about 360.0641680884.

The spelling of 46680953 in words is "forty-six million, six hundred eighty thousand, nine hundred fifty-three".

Divisors: 1 11 121 385793 4243723 46680953