Search a number
-
+
488857842 = 23411416691
BaseRepresentation
bin11101001000110…
…110000011110010
31021001212112220000
4131020312003302
52000121422332
6120301530430
715054136344
oct3510660362
91231775800
10488857842
11230a47150
12117873a16
137a3836c5
1448cd5294
152cdb6b7c
hex1d2360f2

488857842 has 80 divisors (see below), whose sum is σ = 1224314784. Its totient is φ = 144504000.

The previous prime is 488857829. The next prime is 488857867. The reversal of 488857842 is 248758884.

488857842 is a `hidden beast` number, since 488 + 85 + 7 + 84 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 69717 + ... + 76407.

Almost surely, 2488857842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488857842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612157392).

488857842 is an abundant number, since it is smaller than the sum of its proper divisors (735456942).

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

488857842 is a wasteful number, since it uses less digits than its factorization.

488857842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6757 (or 6748 counting only the distinct ones).

The product of its digits is 4587520, while the sum is 54.

The square root of 488857842 is about 22110.1298503650. The cubic root of 488857842 is about 787.7604906957.

The spelling of 488857842 in words is "four hundred eighty-eight million, eight hundred fifty-seven thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 41 54 66 81 82 99 123 162 198 246 297 369 451 594 738 891 902 1107 1353 1782 2214 2706 3321 4059 6642 6691 8118 12177 13382 20073 24354 36531 40146 60219 73062 73601 120438 147202 180657 220803 274331 361314 441606 541971 548662 662409 822993 1083942 1324818 1645986 1987227 2468979 3017641 3974454 4937958 5961681 6035282 7406937 9052923 11923362 14813874 18105846 22220811 27158769 44441622 54317538 81476307 162952614 244428921 488857842