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46868814 = 233291732
BaseRepresentation
bin1011001011001…
…0100101001110
310021012011221000
42302302211032
543444300224
64352321130
71106243526
oct262624516
9107164830
1046868814
1124502263
12138431a6
139930135
146320686
1541ac0c9
hex2cb294e

46868814 has 48 divisors (see below), whose sum is σ = 108370800. Its totient is φ = 14997024.

The previous prime is 46868803. The next prime is 46868819. The reversal of 46868814 is 41886864.

46868814 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 46868814.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46868819) 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 23 ways as a sum of consecutive naturals, for example, 270832 + ... + 271004.

It is an arithmetic number, because the mean of its divisors is an integer number (2257725).

Almost surely, 246868814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46868814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54185400).

46868814 is an abundant number, since it is smaller than the sum of its proper divisors (61501986).

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

46868814 is a wasteful number, since it uses less digits than its factorization.

46868814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 207 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 46868814 is about 6846.0801923436. The cubic root of 46868814 is about 360.5465309798.

The spelling of 46868814 in words is "forty-six million, eight hundred sixty-eight thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 173 174 261 346 519 522 783 1038 1557 1566 3114 4671 5017 9342 10034 15051 29929 30102 45153 59858 89787 90306 135459 179574 269361 270918 538722 808083 867941 1616166 1735882 2603823 5207646 7811469 15622938 23434407 46868814