Search a number
-
+
485188144 = 24747611511
BaseRepresentation
bin11100111010110…
…110001000110000
31020210222010000021
4130322312020300
51443202010034
6120051133224
715011013460
oct3472661060
91223863007
10485188144
11229970041
121165a4214
137969a29c
144861bba0
152c8de6b4
hex1ceb6230

485188144 has 80 divisors (see below), whose sum is σ = 1115928576. Its totient is φ = 200044800.

The previous prime is 485188139. The next prime is 485188147. The reversal of 485188144 is 441881584.

It is a self number, because there is not a number n which added to its sum of digits gives 485188144.

It is not an unprimeable number, because it can be changed into a prime (485188147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320349 + ... + 321859.

Almost surely, 2485188144 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 485188144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557964288).

485188144 is an abundant number, since it is smaller than the sum of its proper divisors (630740432).

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

485188144 is a wasteful number, since it uses less digits than its factorization.

485188144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1628 counting only the distinct ones).

The product of its digits is 163840, while the sum is 43.

The square root of 485188144 is about 22026.9867208386. The cubic root of 485188144 is about 785.7843831864.

The spelling of 485188144 in words is "four hundred eighty-five million, one hundred eighty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 47 56 61 94 112 122 188 244 329 376 427 488 658 752 854 976 1316 1511 1708 2632 2867 3022 3416 5264 5734 6044 6832 10577 11468 12088 20069 21154 22936 24176 40138 42308 45872 71017 80276 84616 92171 142034 160552 169232 184342 284068 321104 368684 497119 568136 645197 737368 994238 1136272 1290394 1474736 1988476 2580788 3976952 4332037 5161576 7953904 8664074 10323152 17328148 30324259 34656296 60648518 69312592 121297036 242594072 485188144