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490549248 = 2123271901
BaseRepresentation
bin11101001111010…
…011000000000000
31021012001111001200
4131033103000000
52001040033443
6120402101200
715104412510
oct3517230000
91235044050
10490549248
112319a1a02
1211834a800
137a826537
1449215840
152d0ecdd3
hex1d3d3000

490549248 has 156 divisors (see below), whose sum is σ = 1620245328. Its totient is φ = 140083200.

The previous prime is 490549231. The next prime is 490549271. The reversal of 490549248 is 842945094.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257098 + ... + 258998.

It is an arithmetic number, because the mean of its divisors is an integer number (10386188).

Almost surely, 2490549248 is an apocalyptic number.

490549248 is a gapful number since it is divisible by the number (48) 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 490549248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810122664).

490549248 is an abundant number, since it is smaller than the sum of its proper divisors (1129696080).

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

490549248 is a wasteful number, since it uses less digits than its factorization.

490549248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 490549248 is about 22148.3463942571. The cubic root of 490549248 is about 788.6679726968.

The spelling of 490549248 in words is "four hundred ninety million, five hundred forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 1901 2016 2048 2304 2688 3072 3584 3802 4032 4096 4608 5376 5703 6144 7168 7604 8064 9216 10752 11406 12288 13307 14336 15208 16128 17109 18432 21504 22812 26614 28672 30416 32256 34218 36864 39921 43008 45624 53228 60832 64512 68436 79842 86016 91248 106456 119763 121664 129024 136872 159684 182496 212912 239526 243328 258048 273744 319368 364992 425824 479052 486656 547488 638736 729984 851648 958104 973312 1094976 1277472 1459968 1703296 1916208 1946624 2189952 2554944 2919936 3406592 3832416 3893248 4379904 5109888 5839872 6813184 7664832 7786496 8759808 10219776 11679744 13626368 15329664 17519616 20439552 23359488 27252736 30659328 35039232 40879104 54505472 61318656 70078464 81758208 122637312 163516416 245274624 490549248