Search a number
-
+
489949680 = 243511238069
BaseRepresentation
bin11101001101000…
…000100111110000
31021010221000121110
4131031000213300
52000411342210
6120341153320
715066334503
oct3515004760
91233830543
10489949680
112316224a0
121180bb840
137a67666c
14490db13a
152d030420
hex1d3409f0

489949680 has 160 divisors (see below), whose sum is σ = 1729175040. Its totient is φ = 113597440.

The previous prime is 489949651. The next prime is 489949709. The reversal of 489949680 is 86949984.

It is an interprime number because it is at equal distance from previous prime (489949651) and next prime (489949709).

It is a self number, because there is not a number n which added to its sum of digits gives 489949680.

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 31 ways as a sum of consecutive naturals, for example, 56686 + ... + 64754.

It is an arithmetic number, because the mean of its divisors is an integer number (10807344).

Almost surely, 2489949680 is an apocalyptic number.

489949680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 489949680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864587520).

489949680 is an abundant number, since it is smaller than the sum of its proper divisors (1239225360).

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

489949680 is a wasteful number, since it uses less digits than its factorization.

489949680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8119 (or 8113 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The square root of 489949680 is about 22134.8069790545. The cubic root of 489949680 is about 788.3465283422.

The spelling of 489949680 in words is "four hundred eighty-nine million, nine hundred forty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 23 24 30 33 40 44 46 48 55 60 66 69 80 88 92 110 115 120 132 138 165 176 184 220 230 240 253 264 276 330 345 368 440 460 506 528 552 660 690 759 880 920 1012 1104 1265 1320 1380 1518 1840 2024 2530 2640 2760 3036 3795 4048 5060 5520 6072 7590 8069 10120 12144 15180 16138 20240 24207 30360 32276 40345 48414 60720 64552 80690 88759 96828 121035 129104 161380 177518 185587 193656 242070 266277 322760 355036 371174 387312 443795 484140 532554 556761 645520 710072 742348 887590 927935 968280 1065108 1113522 1331385 1420144 1484696 1775180 1855870 1936560 2041457 2130216 2227044 2662770 2783805 2969392 3550360 3711740 4082914 4260432 4454088 5325540 5567610 6124371 7100720 7423480 8165828 8908176 10207285 10651080 11135220 12248742 14846960 16331656 20414570 21302160 22270440 24497484 30621855 32663312 40829140 44540880 48994968 61243710 81658280 97989936 122487420 163316560 244974840 489949680