Search a number
-
+
46064064 = 263298273
BaseRepresentation
bin1010111110111…
…0000111000000
310012200022000110
42233232013000
543243022224
64323151320
71066352364
oct257560700
9105608013
1046064064
1124002682
1213515540
13970aa57
1461912a4
15409d929
hex2bee1c0

46064064 has 56 divisors (see below), whose sum is σ = 126095760. Its totient is φ = 14823424.

The previous prime is 46064063. The next prime is 46064069. The reversal of 46064064 is 46046064.

46064064 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 (46064063) 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, 1432 + ... + 9704.

It is an arithmetic number, because the mean of its divisors is an integer number (2251710).

Almost surely, 246064064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46064064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63047880).

46064064 is an abundant number, since it is smaller than the sum of its proper divisors (80031696).

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

46064064 is a wasteful number, since it uses less digits than its factorization.

46064064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8317 (or 8307 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 46064064 is about 6787.0512006320. The cubic root of 46064064 is about 358.4710464490.

The spelling of 46064064 in words is "forty-six million, sixty-four thousand, sixty-four", and thus it is an eban number.

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1392 1856 2784 5568 8273 16546 24819 33092 49638 66184 99276 132368 198552 239917 264736 397104 479834 529472 719751 794208 959668 1439502 1588416 1919336 2879004 3838672 5758008 7677344 11516016 15354688 23032032 46064064