Search a number
-
+
46838061 = 335371461
BaseRepresentation
bin1011001010101…
…1000100101101
310021010121202000
42302223010231
543442304221
64351522513
71106055054
oct262530455
9107117660
1046838061
1124491146
1213829439
13991c13a
14631339b
1541a2e26
hex2cab12d

46838061 has 32 divisors (see below), whose sum is σ = 71850240. Its totient is φ = 30139200.

The previous prime is 46838047. The next prime is 46838083. The reversal of 46838061 is 16083864.

It is a happy number.

46838061 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 46838061 - 26 = 46837997 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46838261) 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 31 ways as a sum of consecutive naturals, for example, 101371 + ... + 101831.

It is an arithmetic number, because the mean of its divisors is an integer number (2245320).

Almost surely, 246838061 is an apocalyptic number.

It is an amenable number.

46838061 is a deficient number, since it is larger than the sum of its proper divisors (25012179).

46838061 is a wasteful number, since it uses less digits than its factorization.

46838061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 46838061 is about 6843.8337940076. The cubic root of 46838061 is about 360.4676561196.

The spelling of 46838061 in words is "forty-six million, eight hundred thirty-eight thousand, sixty-one".

Divisors: 1 3 9 27 53 71 159 213 461 477 639 1383 1431 1917 3763 4149 11289 12447 24433 32731 33867 73299 98193 101601 219897 294579 659691 883737 1734743 5204229 15612687 46838061