Search a number
-
+
489437640 = 23345295209
BaseRepresentation
bin11101001011000…
…011100111001000
31021002222000020000
4131023003213020
52000244001030
6120322203000
715062102616
oct3513034710
91232860200
10489437640
1123130281a
12117ab3460
137a527593
14490066b6
152ce7d860
hex1d2c39c8

489437640 has 160 divisors (see below), whose sum is σ = 1702107000. Its totient is φ = 125991936.

The previous prime is 489437639. The next prime is 489437647. The reversal of 489437640 is 46734984.

It can be written as a sum of positive squares in 4 ways, for example, as 481451364 + 7986276 = 21942^2 + 2826^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (489437647) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 91356 + ... + 96564.

Almost surely, 2489437640 is an apocalyptic number.

489437640 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 489437640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851053500).

489437640 is an abundant number, since it is smaller than the sum of its proper divisors (1212669360).

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

489437640 is a wasteful number, since it uses less digits than its factorization.

489437640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5261 (or 5248 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 489437640 is about 22123.2375569219. The cubic root of 489437640 is about 788.0718024018.

The spelling of 489437640 in words is "four hundred eighty-nine million, four hundred thirty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 81 87 90 108 116 120 135 145 162 174 180 216 232 261 270 290 324 348 360 405 435 522 540 580 648 696 783 810 870 1044 1080 1160 1305 1566 1620 1740 2088 2349 2610 3132 3240 3480 3915 4698 5209 5220 6264 7830 9396 10418 10440 11745 15627 15660 18792 20836 23490 26045 31254 31320 41672 46881 46980 52090 62508 78135 93762 93960 104180 125016 140643 151061 156270 187524 208360 234405 281286 302122 312540 375048 421929 453183 468810 562572 604244 625080 703215 755305 843858 906366 937620 1125144 1208488 1359549 1406430 1510610 1687716 1812732 1875240 2109645 2265915 2719098 2812860 3021220 3375432 3625464 4078647 4219290 4531830 5438196 5625720 6042440 6797745 8157294 8438580 9063660 10876392 12235941 13595490 16314588 16877160 18127320 20393235 24471882 27190980 32629176 40786470 48943764 54381960 61179705 81572940 97887528 122359410 163145880 244718820 489437640