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498084948 = 223214992857
BaseRepresentation
bin11101101100000…
…010110001010100
31021201020100002200
4131230002301110
52010002204243
6121231404500
715225436464
oct3554026124
91251210080
10498084948
11236179659
1211a983730
137c26452a
144a217ba4
152dadaad3
hex1db02c54

498084948 has 36 divisors (see below), whose sum is σ = 1267511700. Its totient is φ = 164912256.

The previous prime is 498084931. The next prime is 498084949. The reversal of 498084948 is 849480894.

It can be written as a sum of positive squares in 2 ways, for example, as 301300164 + 196784784 = 17358^2 + 14028^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 498084894 and 498084903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498084949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41065 + ... + 51792.

Almost surely, 2498084948 is an apocalyptic number.

It is an amenable number.

498084948 is an abundant number, since it is smaller than the sum of its proper divisors (769426752).

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

498084948 is a wasteful number, since it uses less digits than its factorization.

498084948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93016 (or 93011 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 498084948 is about 22317.8168287133. The cubic root of 498084948 is about 792.6859109994.

It can be divided in two parts, 49808 and 4948, that added together give a square (54756 = 2342).

The spelling of 498084948 in words is "four hundred ninety-eight million, eighty-four thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 149 298 447 596 894 1341 1788 2682 5364 92857 185714 278571 371428 557142 835713 1114284 1671426 3342852 13835693 27671386 41507079 55342772 83014158 124521237 166028316 249042474 498084948