Search a number
-
+
46540998 = 23272947271
BaseRepresentation
bin1011000110001…
…0100011000110
310020120112020200
42301202203012
543403302443
64341311330
71103410020
oct261424306
9106515220
1046540998
11242a8a39
1213705546
139846b6a
146277010
154144dd3
hex2c628c6

46540998 has 96 divisors (see below), whose sum is σ = 122204160. Its totient is φ = 12519360.

The previous prime is 46540993. The next prime is 46541009. The reversal of 46540998 is 89904564.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46540993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171603 + ... + 171873.

It is an arithmetic number, because the mean of its divisors is an integer number (1272960).

Almost surely, 246540998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46540998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61102080).

46540998 is an abundant number, since it is smaller than the sum of its proper divisors (75663162).

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

46540998 is a wasteful number, since it uses less digits than its factorization.

46540998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 46540998 is about 6822.0963053888. The cubic root of 46540998 is about 359.7039696019.

The spelling of 46540998 in words is "forty-six million, five hundred forty thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 47 58 63 87 94 126 141 174 203 261 271 282 329 406 423 522 542 609 658 813 846 987 1218 1363 1626 1827 1897 1974 2439 2726 2961 3654 3794 4089 4878 5691 5922 7859 8178 9541 11382 12267 12737 15718 17073 19082 23577 24534 25474 28623 34146 38211 47154 55013 57246 70731 76422 85869 89159 110026 114633 141462 165039 171738 178318 229266 267477 330078 369373 495117 534954 738746 802431 990234 1108119 1604862 2216238 2585611 3324357 5171222 6648714 7756833 15513666 23270499 46540998