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490250240 = 213511969
BaseRepresentation
bin11101001110001…
…010000000000000
31021011111021220022
4131032022000000
52001001001430
6120351433012
715102025664
oct3516120000
91234437808
10490250240
11231808297
12118225768
137a7503cc
14491788a4
152d08e4e5
hex1d38a000

490250240 has 56 divisors (see below), whose sum is σ = 1176627060. Its totient is φ = 196083712.

The previous prime is 490250219. The next prime is 490250251. The reversal of 490250240 is 42052094.

It can be written as a sum of positive squares in 2 ways, for example, as 443355136 + 46895104 = 21056^2 + 6848^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34976 + ... + 46944.

Almost surely, 2490250240 is an apocalyptic number.

490250240 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 490250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588313530).

490250240 is an abundant number, since it is smaller than the sum of its proper divisors (686376820).

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

490250240 is an equidigital number, since it uses as much as digits as its factorization.

490250240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12000 (or 11976 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 490250240 is about 22141.5952451489. The cubic root of 490250240 is about 788.5076993136.

The spelling of 490250240 in words is "four hundred ninety million, two hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 8192 10240 11969 20480 23938 40960 47876 59845 95752 119690 191504 239380 383008 478760 766016 957520 1532032 1915040 3064064 3830080 6128128 7660160 12256256 15320320 24512512 30640640 49025024 61281280 98050048 122562560 245125120 490250240