Search a number
-
+
46086432 = 253768581
BaseRepresentation
bin1010111111001…
…1100100100000
310012201102200220
42233303210200
543244231212
64323443040
71066504530
oct257634440
9105642626
1046086432
1124018467
1213526480
139717ca2
1461994c0
1540a538c
hex2bf3920

46086432 has 48 divisors (see below), whose sum is σ = 138261312. Its totient is φ = 13167360.

The previous prime is 46086431. The next prime is 46086437. The reversal of 46086432 is 23468064.

46086432 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 (48).

It is a junction number, because it is equal to n+sod(n) for n = 46086393 and 46086402.

It is not an unprimeable number, because it can be changed into a prime (46086431) 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 7 ways as a sum of consecutive naturals, for example, 33619 + ... + 34962.

It is an arithmetic number, because the mean of its divisors is an integer number (2880444).

Almost surely, 246086432 is an apocalyptic number.

46086432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

46086432 is an abundant number, since it is smaller than the sum of its proper divisors (92174880).

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

46086432 is a wasteful number, since it uses less digits than its factorization.

46086432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68601 (or 68593 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 46086432 is about 6788.6988444031. The cubic root of 46086432 is about 358.5290597328.

The spelling of 46086432 in words is "forty-six million, eighty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 68581 137162 205743 274324 411486 480067 548648 822972 960134 1097296 1440201 1645944 1920268 2194592 2880402 3291888 3840536 5760804 6583776 7681072 11521608 15362144 23043216 46086432