Search a number
-
+
46820320 = 255292627
BaseRepresentation
bin1011001010011…
…0101111100000
310021002201101221
42302212233200
543441222240
64351304424
71105652251
oct262465740
9107081357
1046820320
1124479888
121381b114
139914041
14630ab28
15419ca4a
hex2ca6be0

46820320 has 24 divisors (see below), whose sum is σ = 110613384. Its totient is φ = 18728064.

The previous prime is 46820309. The next prime is 46820321. The reversal of 46820320 is 2302864.

It is a happy number.

46820320 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 not an unprimeable number, because it can be changed into a prime (46820321) 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, 146154 + ... + 146473.

It is an arithmetic number, because the mean of its divisors is an integer number (4608891).

Almost surely, 246820320 is an apocalyptic number.

46820320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46820320 is an abundant number, since it is smaller than the sum of its proper divisors (63793064).

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

46820320 is a wasteful number, since it uses less digits than its factorization.

46820320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292642 (or 292634 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 46820320 is about 6842.5375410004. The cubic root of 46820320 is about 360.4221385487.

The spelling of 46820320 in words is "forty-six million, eight hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 292627 585254 1170508 1463135 2341016 2926270 4682032 5852540 9364064 11705080 23410160 46820320