Search a number
-
+
46046080 = 27571947
BaseRepresentation
bin1010111110100…
…1101110000000
310012122101100101
42233221232000
543241433310
64322532144
71066246063
oct257515600
9105571311
1046046080
1123aa0113
1213507054
139702802
1461888da
15409843a
hex2be9b80

46046080 has 32 divisors (see below), whose sum is σ = 110080440. Its totient is φ = 18418176.

The previous prime is 46046071. The next prime is 46046083. The reversal of 46046080 is 8064064.

46046080 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 (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46046083) 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, 35334 + ... + 36613.

Almost surely, 246046080 is an apocalyptic number.

46046080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46046080 is an abundant number, since it is smaller than the sum of its proper divisors (64034360).

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

46046080 is an equidigital number, since it uses as much as digits as its factorization.

46046080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71966 (or 71954 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 46046080 is about 6785.7261954783. The cubic root of 46046080 is about 358.4243898155.

The spelling of 46046080 in words is "forty-six million, forty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 71947 143894 287788 359735 575576 719470 1151152 1438940 2302304 2877880 4604608 5755760 9209216 11511520 23023040 46046080