Search a number
-
+
488450544 = 243531011901
BaseRepresentation
bin11101000111010…
…010100111110000
31021001002212011220
4131013102213300
52000020404134
6120245105040
715050522031
oct3507224760
91231085156
10488450544
1123079913a
121176b8180
137a2701ba
1448c2aa88
152cd36149
hex1d1d29f0

488450544 has 80 divisors (see below), whose sum is σ = 1299050784. Its totient is φ = 158080000.

The previous prime is 488450513. The next prime is 488450551. The reversal of 488450544 is 445054884.

It is a junction number, because it is equal to n+sod(n) for n = 488450496 and 488450505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255994 + ... + 257894.

Almost surely, 2488450544 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 488450544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649525392).

488450544 is an abundant number, since it is smaller than the sum of its proper divisors (810600240).

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

488450544 is a wasteful number, since it uses less digits than its factorization.

488450544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 42.

The square root of 488450544 is about 22100.9172660322. The cubic root of 488450544 is about 787.5416524202.

The spelling of 488450544 in words is "four hundred eighty-eight million, four hundred fifty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 101 106 159 202 212 303 318 404 424 606 636 808 848 1212 1272 1616 1901 2424 2544 3802 4848 5353 5703 7604 10706 11406 15208 16059 21412 22812 30416 32118 42824 45624 64236 85648 91248 100753 128472 192001 201506 256944 302259 384002 403012 576003 604518 768004 806024 1152006 1209036 1536008 1612048 2304012 2418072 3072016 4608024 4836144 9216048 10176053 20352106 30528159 40704212 61056318 81408424 122112636 162816848 244225272 488450544