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490537728 = 283370969
BaseRepresentation
bin11101001111010…
…000001100000000
31021012000220021000
4131033100030000
52001034201403
6120401532000
715104334102
oct3517201400
91235026230
10490537728
1123199428a
12118344000
137a821215
1449211572
152d0e97a3
hex1d3d0300

490537728 has 72 divisors (see below), whose sum is σ = 1450626800. Its totient is φ = 163510272.

The previous prime is 490537727. The next prime is 490537739. The reversal of 490537728 is 827735094.

490537728 is a `hidden beast` number, since 4 + 90 + 537 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (490537727) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 28573 + ... + 42396.

Almost surely, 2490537728 is an apocalyptic number.

490537728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

490537728 is an abundant number, since it is smaller than the sum of its proper divisors (960089072).

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

490537728 is an equidigital number, since it uses as much as digits as its factorization.

490537728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70994 (or 70974 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 490537728 is about 22148.0863281684. The cubic root of 490537728 is about 788.6617989869.

The spelling of 490537728 in words is "four hundred ninety million, five hundred thirty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 70969 141938 212907 283876 425814 567752 638721 851628 1135504 1277442 1703256 1916163 2271008 2554884 3406512 3832326 4542016 5109768 6813024 7664652 9084032 10219536 13626048 15329304 18168064 20439072 27252096 30658608 40878144 54504192 61317216 81756288 122634432 163512576 245268864 490537728