Search a number
-
+
487461072 = 24374333739
BaseRepresentation
bin11101000011100…
…001000011010000
31020222020120212210
4131003201003100
51444242223242
6120211552120
715036231210
oct3503410320
91228216783
10487461072
1123018279a
121172bb640
1379cb4a07
1448a50240
152cbdcd9c
hex1d0e10d0

487461072 has 80 divisors (see below), whose sum is σ = 1472683520. Its totient is φ = 136031616.

The previous prime is 487461067. The next prime is 487461133. The reversal of 487461072 is 270164784.

It is a self number, because there is not a number n which added to its sum of digits gives 487461072.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 2422 + ... + 31317.

It is an arithmetic number, because the mean of its divisors is an integer number (18408544).

Almost surely, 2487461072 is an apocalyptic number.

487461072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 487461072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736341760).

487461072 is an abundant number, since it is smaller than the sum of its proper divisors (985222448).

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

487461072 is a wasteful number, since it uses less digits than its factorization.

487461072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33800 (or 33794 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 487461072 is about 22078.5206026128. The cubic root of 487461072 is about 787.0095090253.

The spelling of 487461072 in words is "four hundred eighty-seven million, four hundred sixty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 84 86 112 129 168 172 258 301 336 344 516 602 688 903 1032 1204 1806 2064 2408 3612 4816 7224 14448 33739 67478 101217 134956 202434 236173 269912 404868 472346 539824 708519 809736 944692 1417038 1450777 1619472 1889384 2834076 2901554 3778768 4352331 5668152 5803108 8704662 10155439 11336304 11606216 17409324 20310878 23212432 30466317 34818648 40621756 60932634 69637296 81243512 121865268 162487024 243730536 487461072