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46048068 = 22331183467
BaseRepresentation
bin1010111110101…
…0001101000100
310012122111002000
42233222031010
543242014233
64322545300
71066254633
oct257521504
9105574060
1046048068
1123aa1660
1213508230
1397036a1
14618951a
154098d13
hex2bea344

46048068 has 96 divisors (see below), whose sum is σ = 132088320. Its totient is φ = 13756320.

The previous prime is 46048061. The next prime is 46048069. The reversal of 46048068 is 86084064.

46048068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46048061) 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, 98371 + ... + 98837.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 246048068 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 46048068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66044160).

46048068 is an abundant number, since it is smaller than the sum of its proper divisors (86040252).

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

46048068 is a wasteful number, since it uses less digits than its factorization.

46048068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 46048068 is about 6785.8726778507. The cubic root of 46048068 is about 358.4295479631.

The spelling of 46048068 in words is "forty-six million, forty-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 83 99 108 132 166 198 249 297 332 396 467 498 594 747 913 934 996 1188 1401 1494 1826 1868 2241 2739 2802 2988 3652 4203 4482 5137 5478 5604 8217 8406 8964 10274 10956 12609 15411 16434 16812 20548 24651 25218 30822 32868 38761 46233 49302 50436 61644 77522 92466 98604 116283 138699 155044 184932 232566 277398 348849 426371 465132 554796 697698 852742 1046547 1279113 1395396 1705484 2093094 2558226 3837339 4186188 5116452 7674678 11512017 15349356 23024034 46048068