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490461540 = 223531457577
BaseRepresentation
bin11101001110111…
…101100101100100
31021011220000202020
4131032331211210
52001024232130
6120400143140
715103566012
oct3516754544
91234800666
10490461540
11231942018
12118307ab0
137a7c563a
14491d18b2
152d0d1e10
hex1d3bd964

490461540 has 96 divisors (see below), whose sum is σ = 1423156224. Its totient is φ = 126074880.

The previous prime is 490461493. The next prime is 490461541. The reversal of 490461540 is 45164094.

It is not an unprimeable number, because it can be changed into a prime (490461541) 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 31 ways as a sum of consecutive naturals, for example, 849732 + ... + 850308.

It is an arithmetic number, because the mean of its divisors is an integer number (14824544).

Almost surely, 2490461540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490461540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711578112).

490461540 is an abundant number, since it is smaller than the sum of its proper divisors (932694684).

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

490461540 is a wasteful number, since it uses less digits than its factorization.

490461540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 490461540 is about 22146.3662933674. The cubic root of 490461540 is about 788.6209664659.

The spelling of 490461540 in words is "four hundred ninety million, four hundred sixty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 457 465 577 620 914 930 1154 1371 1731 1828 1860 2285 2308 2742 2885 3462 4570 5484 5770 6855 6924 8655 9140 11540 13710 14167 17310 17887 27420 28334 34620 35774 42501 53661 56668 70835 71548 85002 89435 107322 141670 170004 178870 212505 214644 263689 268305 283340 357740 425010 527378 536610 791067 850020 1054756 1073220 1318445 1582134 2636890 3164268 3955335 5273780 7910670 8174359 15821340 16348718 24523077 32697436 40871795 49046154 81743590 98092308 122615385 163487180 245230770 490461540