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497985900 = 223524493697
BaseRepresentation
bin11101101011101…
…010100101101100
31021201001022020020
4131223222211230
52004441022100
6121225322140
715224544636
oct3553524554
91251038206
10497985900
112361111a5
1211a936350
137c22b419
144a1cda56
152dabb5a0
hex1daea96c

497985900 has 72 divisors (see below), whose sum is σ = 1444438800. Its totient is φ = 132464640.

The previous prime is 497985893. The next prime is 497985907. The reversal of 497985900 is 9589794.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (497985893) and next prime (497985907).

It is not an unprimeable number, because it can be changed into a prime (497985907) 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 23 ways as a sum of consecutive naturals, for example, 132852 + ... + 136548.

It is an arithmetic number, because the mean of its divisors is an integer number (20061650).

Almost surely, 2497985900 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 497985900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722219400).

497985900 is an abundant number, since it is smaller than the sum of its proper divisors (946452900).

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

497985900 is a wasteful number, since it uses less digits than its factorization.

497985900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4163 (or 4156 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The square root of 497985900 is about 22315.5976841312. The cubic root of 497985900 is about 792.6333636314.

The spelling of 497985900 in words is "four hundred ninety-seven million, nine hundred eighty-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 449 898 1347 1796 2245 2694 3697 4490 5388 6735 7394 8980 11091 11225 13470 14788 18485 22182 22450 26940 33675 36970 44364 44900 55455 67350 73940 92425 110910 134700 184850 221820 277275 369700 554550 1109100 1659953 3319906 4979859 6639812 8299765 9959718 16599530 19919436 24899295 33199060 41498825 49798590 82997650 99597180 124496475 165995300 248992950 497985900