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46002066 = 231167101103
BaseRepresentation
bin1010111101111…
…0111110010010
310012120010222020
42233132332102
543234031231
64321552310
71066003545
oct257367622
9105503866
1046002066
1123a70040
12134a5696
1396b8776
14617685c
15408a396
hex2bdef92

46002066 has 64 divisors (see below), whose sum is σ = 103873536. Its totient is φ = 13464000.

The previous prime is 46002037. The next prime is 46002071. The reversal of 46002066 is 66020064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446571 + ... + 446673.

It is an arithmetic number, because the mean of its divisors is an integer number (1623024).

Almost surely, 246002066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46002066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51936768).

46002066 is an abundant number, since it is smaller than the sum of its proper divisors (57871470).

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

46002066 is a wasteful number, since it uses less digits than its factorization.

46002066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 46002066 is about 6782.4822889559. The cubic root of 46002066 is about 358.3101512074.

It can be divided in two parts, 4600 and 2066, that added together give a palindrome (6666).

The spelling of 46002066 in words is "forty-six million, two thousand, sixty-six", and thus it is an eban number.

Divisors: 1 2 3 6 11 22 33 66 67 101 103 134 201 202 206 303 309 402 606 618 737 1111 1133 1474 2211 2222 2266 3333 3399 4422 6666 6767 6798 6901 10403 13534 13802 20301 20703 20806 31209 40602 41406 62418 74437 75911 114433 148874 151822 223311 227733 228866 343299 446622 455466 686598 697001 1394002 2091003 4182006 7667011 15334022 23001033 46002066