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490503888 = 243272321157
BaseRepresentation
bin11101001111000…
…111111011010000
31021011222011211200
4131033013323100
52001032111023
6120401111200
715104133330
oct3517077320
91234864750
10490503888
11231970916
12118328500
137a80b9b4
14492030c0
152d0de743
hex1d3c7ed0

490503888 has 120 divisors (see below), whose sum is σ = 1637121408. Its totient is φ = 134044416.

The previous prime is 490503859. The next prime is 490503889. The reversal of 490503888 is 888305094.

490503888 is a `hidden beast` number, since 490 + 50 + 38 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490503889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12606 + ... + 33762.

Almost surely, 2490503888 is an apocalyptic number.

490503888 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 490503888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818560704).

490503888 is an abundant number, since it is smaller than the sum of its proper divisors (1146617520).

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

490503888 is a wasteful number, since it uses less digits than its factorization.

490503888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21201 (or 21192 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 490503888 is about 22147.3223663720. The cubic root of 490503888 is about 788.6436631552.

The spelling of 490503888 in words is "four hundred ninety million, five hundred three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 69 72 84 92 112 126 138 144 161 168 184 207 252 276 322 336 368 414 483 504 552 644 828 966 1008 1104 1288 1449 1656 1932 2576 2898 3312 3864 5796 7728 11592 21157 23184 42314 63471 84628 126942 148099 169256 190413 253884 296198 338512 380826 444297 486611 507768 592396 761652 888594 973222 1015536 1184792 1332891 1459833 1523304 1777188 1946444 2369584 2665782 2919666 3046608 3406277 3554376 3892888 4379499 5331564 5839332 6812554 7108752 7785776 8758998 10218831 10663128 11678664 13625108 17517996 20437662 21326256 23357328 27250216 30656493 35035992 40875324 54500432 61312986 70071984 81750648 122625972 163501296 245251944 490503888