Search a number
-
+
46906048 = 267104701
BaseRepresentation
bin1011001011101…
…1101011000000
310021021002000001
42302323223000
544001443143
64353205344
71106460220
oct262735300
9107232001
1046906048
1124528232
1213860854
139944077
146330080
1541b814d
hex2cbbac0

46906048 has 28 divisors (see below), whose sum is σ = 106377232. Its totient is φ = 20102400.

The previous prime is 46906037. The next prime is 46906049. The reversal of 46906048 is 84060964.

46906048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (28).

It is a junction number, because it is equal to n+sod(n) for n = 46905998 and 46906016.

It is not an unprimeable number, because it can be changed into a prime (46906049) 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 3 ways as a sum of consecutive naturals, for example, 51903 + ... + 52798.

Almost surely, 246906048 is an apocalyptic number.

It is an amenable number.

46906048 is an abundant number, since it is smaller than the sum of its proper divisors (59471184).

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

46906048 is a wasteful number, since it uses less digits than its factorization.

46906048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104720 (or 104710 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 46906048 is about 6848.7990188061. The cubic root of 46906048 is about 360.6419820555.

The spelling of 46906048 in words is "forty-six million, nine hundred six thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 104701 209402 418804 732907 837608 1465814 1675216 2931628 3350432 5863256 6700864 11726512 23453024 46906048