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461420288 = 287257489
BaseRepresentation
bin11011100000001…
…011011100000000
31012011020120122022
4123200023130000
51421110422123
6113441501012
714302002440
oct3340133400
91164216568
10461420288
1121750698a
1210a641768
1374797b74
14453d2120
152a7971c8
hex1b80b700

461420288 has 36 divisors (see below), whose sum is σ = 1052619120. Its totient is φ = 197750784.

The previous prime is 461420261. The next prime is 461420321. The reversal of 461420288 is 882024164.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 126953 + ... + 130536.

It is an arithmetic number, because the mean of its divisors is an integer number (29239420).

Almost surely, 2461420288 is an apocalyptic number.

It is an amenable number.

461420288 is an abundant number, since it is smaller than the sum of its proper divisors (591198832).

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

461420288 is an equidigital number, since it uses as much as digits as its factorization.

461420288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257512 (or 257498 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 461420288 is about 21480.6957056796. The cubic root of 461420288 is about 772.7379272214.

The spelling of 461420288 in words is "four hundred sixty-one million, four hundred twenty thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 257489 514978 1029956 1802423 2059912 3604846 4119824 7209692 8239648 14419384 16479296 28838768 32958592 57677536 65917184 115355072 230710144 461420288