Search a number
-
+
46018962 = 2331127043
BaseRepresentation
bin1010111110001…
…1000110010010
310012121000011000
42233203012102
543240101322
64322202430
71066104033
oct257430622
9105530130
1046018962
1123a81800
12134b3416
1396c3372
14617ca8a
1540903ac
hex2be3192

46018962 has 48 divisors (see below), whose sum is σ = 112422240. Its totient is φ = 13943160.

The previous prime is 46018957. The next prime is 46018991. The reversal of 46018962 is 26981064.

46018962 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 3013 + ... + 10055.

It is an arithmetic number, because the mean of its divisors is an integer number (2342130).

Almost surely, 246018962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46018962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56211120).

46018962 is an abundant number, since it is smaller than the sum of its proper divisors (66403278).

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

46018962 is a wasteful number, since it uses less digits than its factorization.

46018962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7076 (or 7059 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 46018962 is about 6783.7277362819. The cubic root of 46018962 is about 358.3540134931.

The spelling of 46018962 in words is "forty-six million, eighteen thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 1089 2178 3267 6534 7043 14086 21129 42258 63387 77473 126774 154946 190161 232419 380322 464838 697257 852203 1394514 1704406 2091771 2556609 4183542 5113218 7669827 15339654 23009481 46018962