Search a number
-
+
46523064 = 2337318933
BaseRepresentation
bin1011000101111…
…0001010111000
310020112121122110
42301132022320
543402214224
64341052320
71103303520
oct261361270
9106477573
1046523064
1124296515
12136b70a0
13983b953
146270680
15413e929
hex2c5e2b8

46523064 has 64 divisors (see below), whose sum is σ = 137226240. Its totient is φ = 12862080.

The previous prime is 46523051. The next prime is 46523083. The reversal of 46523064 is 46032564.

46523064 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 an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 742 + ... + 9674.

It is an arithmetic number, because the mean of its divisors is an integer number (2144160).

Almost surely, 246523064 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 46523064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68613120).

46523064 is an abundant number, since it is smaller than the sum of its proper divisors (90703176).

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

46523064 is a wasteful number, since it uses less digits than its factorization.

46523064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8980 (or 8976 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 46523064 is about 6820.7817733747. The cubic root of 46523064 is about 359.6577611689.

The spelling of 46523064 in words is "forty-six million, five hundred twenty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2604 5208 8933 17866 26799 35732 53598 62531 71464 107196 125062 187593 214392 250124 276923 375186 500248 553846 750372 830769 1107692 1500744 1661538 1938461 2215384 3323076 3876922 5815383 6646152 7753844 11630766 15507688 23261532 46523064