Search a number
-
+
488073240 = 233251355759
BaseRepresentation
bin11101000101110…
…110100000011000
31021000101200121200
4131011312200120
51444421320430
6120233034200
715044361024
oct3505664030
91230350550
10488073240
11230560716
12117555960
137a16a545
1448b6d384
152ccae460
hex1d176818

488073240 has 48 divisors (see below), whose sum is σ = 1586239200. Its totient is φ = 130152768.

The previous prime is 488073227. The next prime is 488073259. The reversal of 488073240 is 42370884.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 488073195 and 488073204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 677520 + ... + 678239.

It is an arithmetic number, because the mean of its divisors is an integer number (33046650).

Almost surely, 2488073240 is an apocalyptic number.

488073240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

488073240 is an abundant number, since it is smaller than the sum of its proper divisors (1098165960).

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

488073240 is a wasteful number, since it uses less digits than its factorization.

488073240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355776 (or 1355769 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 488073240 is about 22092.3796816912. The cubic root of 488073240 is about 787.3388211329.

The spelling of 488073240 in words is "four hundred eighty-eight million, seventy-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1355759 2711518 4067277 5423036 6778795 8134554 10846072 12201831 13557590 16269108 20336385 24403662 27115180 32538216 40672770 48807324 54230360 61009155 81345540 97614648 122018310 162691080 244036620 488073240