Search a number
-
+
46689948 = 22327916417
BaseRepresentation
bin1011001000011…
…0111010011100
310020212002120100
42302012322130
543423034243
64344421100
71104600204
oct262067234
9106762510
1046689948
112439a938
1213777790
1398998b6
1462b5404
1541740d3
hex2c86e9c

46689948 has 36 divisors (see below), whose sum is σ = 119523040. Its totient is φ = 15365376.

The previous prime is 46689947. The next prime is 46689989. The reversal of 46689948 is 84998664.

46689948 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 46689894 and 46689903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46689943) 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 11 ways as a sum of consecutive naturals, for example, 5365 + ... + 11052.

Almost surely, 246689948 is an apocalyptic number.

It is an amenable number.

46689948 is an abundant number, since it is smaller than the sum of its proper divisors (72833092).

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

46689948 is a wasteful number, since it uses less digits than its factorization.

46689948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16506 (or 16501 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 46689948 is about 6833.0043172824. The cubic root of 46689948 is about 360.0872936459.

The spelling of 46689948 in words is "forty-six million, six hundred eighty-nine thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 948 1422 2844 16417 32834 49251 65668 98502 147753 197004 295506 591012 1296943 2593886 3890829 5187772 7781658 11672487 15563316 23344974 46689948