Search a number
-
+
488881 = 3773181
BaseRepresentation
bin1110111010110110001
3220211121201
41313112301
5111121011
614251201
74104211
oct1672661
9824551
10488881
11304338
121b6b01
131416a3
14ca241
1599cc1
hex775b1

488881 has 8 divisors (see below), whose sum is σ = 511784. Its totient is φ = 466560.

The previous prime is 488879. The next prime is 488893. The reversal of 488881 is 188884.

It can be written as a sum of positive squares in 4 ways, for example, as 46656 + 442225 = 216^2 + 665^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 3-Lehmer number, since φ(488881) divides (488881-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 488881 - 21 = 488879 is a prime.

It is a super-2 number, since 2×4888812 = 478009264322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a deceptive number, since it divides R488880.

488881 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 488881.

It is not an unprimeable number, because it can be changed into a prime (488821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2611 + ... + 2791.

It is an arithmetic number, because the mean of its divisors is an integer number (63973).

It is a Poulet number, since it divides 2488880-1.

2488881 is an apocalyptic number.

It is an amenable number.

488881 is a deficient number, since it is larger than the sum of its proper divisors (22903).

488881 is a wasteful number, since it uses less digits than its factorization.

488881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291.

The product of its digits is 16384, while the sum is 37.

The square root of 488881 is about 699.2002574370. The cubic root of 488881 is about 78.7772929669. Note that the first 3 decimals are identical.

It can be divided in two parts, 488 and 881, that added together give a square (1369 = 372).

The spelling of 488881 in words is "four hundred eighty-eight thousand, eight hundred eighty-one".

Divisors: 1 37 73 181 2701 6697 13213 488881