Search a number
-
+
46868668 = 22711198009
BaseRepresentation
bin1011001011001…
…0100010111100
310021012011201121
42302302202330
543444244133
64352320324
71106243230
oct262624274
9107164647
1046868668
1124502140
12138430a4
139930052
1463205c0
1541ac02d
hex2cb28bc

46868668 has 48 divisors (see below), whose sum is σ = 107654400. Its totient is φ = 17297280.

The previous prime is 46868663. The next prime is 46868681. The reversal of 46868668 is 86686864.

46868668 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 not an unprimeable number, because it can be changed into a prime (46868663) 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 15 ways as a sum of consecutive naturals, for example, 1848 + ... + 9856.

It is an arithmetic number, because the mean of its divisors is an integer number (2242800).

Almost surely, 246868668 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 46868668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53827200).

46868668 is an abundant number, since it is smaller than the sum of its proper divisors (60785732).

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

46868668 is a wasteful number, since it uses less digits than its factorization.

46868668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8050 (or 8048 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 52.

The square root of 46868668 is about 6846.0695292993. The cubic root of 46868668 is about 360.5461566026.

The spelling of 46868668 in words is "forty-six million, eight hundred sixty-eight thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 133 154 209 266 308 418 532 836 1463 2926 5852 8009 16018 32036 56063 88099 112126 152171 176198 224252 304342 352396 608684 616693 1065197 1233386 1673881 2130394 2466772 3347762 4260788 6695524 11717167 23434334 46868668