Search a number
-
+
46485714 = 231123113271
BaseRepresentation
bin1011000101010…
…1000011010010
310020110201102010
42301111003102
543400020324
64340203350
71103056602
oct261250322
9106421363
1046485714
1124270450
1213699556
139827952
146260c02
154133829
hex2c550d2

46485714 has 64 divisors (see below), whose sum is σ = 107163648. Its totient is φ = 13305600.

The previous prime is 46485707. The next prime is 46485731. The reversal of 46485714 is 41758464.

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 171399 + ... + 171669.

It is an arithmetic number, because the mean of its divisors is an integer number (1674432).

Almost surely, 246485714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46485714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53581824).

46485714 is an abundant number, since it is smaller than the sum of its proper divisors (60677934).

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

46485714 is a wasteful number, since it uses less digits than its factorization.

46485714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423.

The product of its digits is 107520, while the sum is 39.

The square root of 46485714 is about 6818.0432676832. The cubic root of 46485714 is about 359.5614876744.

The spelling of 46485714 in words is "forty-six million, four hundred eighty-five thousand, seven hundred fourteen".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 113 138 226 253 271 339 506 542 678 759 813 1243 1518 1626 2486 2599 2981 3729 5198 5962 6233 7458 7797 8943 12466 15594 17886 18699 28589 30623 37398 57178 61246 68563 85767 91869 137126 171534 183738 205689 336853 411378 673706 704329 1010559 1408658 2021118 2112987 4225974 7747619 15495238 23242857 46485714