Search a number
-
+
490326480 = 24335732429
BaseRepresentation
bin11101001110011…
…100100111010000
31021011122011111000
4131032130213100
52001010421410
6120353222000
715102464160
oct3516344720
91234564430
10490326480
1123185a5a6
12118261900
137a779017
14491985a0
152d0a6dc0
hex1d39c9d0

490326480 has 160 divisors (see below), whose sum is σ = 1930233600. Its totient is φ = 112071168.

The previous prime is 490326469. The next prime is 490326481. The reversal of 490326480 is 84623094.

It is a happy number.

490326480 is a `hidden beast` number, since 4 + 9 + 0 + 3 + 2 + 648 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490326481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1095 + ... + 31334.

It is an arithmetic number, because the mean of its divisors is an integer number (12063960).

Almost surely, 2490326480 is an apocalyptic number.

490326480 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 490326480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965116800).

490326480 is an abundant number, since it is smaller than the sum of its proper divisors (1439907120).

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

490326480 is a wasteful number, since it uses less digits than its factorization.

490326480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32458 (or 32446 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 490326480 is about 22143.3168247216. The cubic root of 490326480 is about 788.5485714412.

The spelling of 490326480 in words is "four hundred ninety million, three hundred twenty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 32429 64858 97287 129716 162145 194574 227003 259432 291861 324290 389148 454006 486435 518864 583722 648580 681009 778296 875583 908012 972870 1135015 1167444 1297160 1362018 1459305 1556592 1751166 1816024 1945740 2043027 2270030 2334888 2594320 2724036 2918610 3405045 3502332 3632048 3891480 4086054 4377915 4540060 4669776 5448072 5837220 6129081 6810090 7004664 7782960 8172108 8755830 9080120 10215135 10896144 11674440 12258162 13620180 14009328 16344216 17511660 18160240 20430270 23348880 24516324 27240360 30645405 32688432 35023320 40860540 49032648 54480720 61290810 70046640 81721080 98065296 122581620 163442160 245163240 490326480