Search a number
-
+
487454364 = 2232234313691
BaseRepresentation
bin11101000011011…
…111011010011100
31020222020020200100
4131003133122130
51444242014424
6120211501100
715036202515
oct3503373234
91228206610
10487454364
11230178751
121172b7790
1379cb1947
1448a4ba0c
152cbdadc9
hex1d0df69c

487454364 has 72 divisors (see below), whose sum is σ = 1315746432. Its totient is φ = 151794720.

The previous prime is 487454333. The next prime is 487454377. The reversal of 487454364 is 463454784.

487454364 is a `hidden beast` number, since 48 + 7 + 4 + 543 + 64 = 666.

It is a super-2 number, since 2×4874543642 = 475223513965288992, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 28759 + ... + 42449.

It is an arithmetic number, because the mean of its divisors is an integer number (18274256).

Almost surely, 2487454364 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 487454364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657873216).

487454364 is an abundant number, since it is smaller than the sum of its proper divisors (828292068).

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

487454364 is a wasteful number, since it uses less digits than its factorization.

487454364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13767 (or 13762 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The square root of 487454364 is about 22078.3686897379. The cubic root of 487454364 is about 787.0058989702.

The spelling of 487454364 in words is "four hundred eighty-seven million, four hundred fifty-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 43 46 69 86 92 129 138 172 207 258 276 387 414 516 774 828 989 1548 1978 2967 3956 5934 8901 11868 13691 17802 27382 35604 41073 54764 82146 123219 164292 246438 314893 492876 588713 629786 944679 1177426 1259572 1766139 1889358 2354852 2834037 3532278 3778716 5298417 5668074 7064556 10596834 11336148 13540399 21193668 27080798 40621197 54161596 81242394 121863591 162484788 243727182 487454364