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498252288 = 2932271429
BaseRepresentation
bin11101101100101…
…011101000000000
31021201112211122110
4131230223220000
52010023033123
6121235135320
715230034402
oct3554535000
91251484573
10498252288
11236283356
1211aa44540
137c2c2751
144a25cb72
152db20493
hex1db2ba00

498252288 has 80 divisors (see below), whose sum is σ = 1334155680. Its totient is φ = 165236736.

The previous prime is 498252263. The next prime is 498252299. The reversal of 498252288 is 882252894.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 347958 + ... + 349386.

It is an arithmetic number, because the mean of its divisors is an integer number (16676946).

Almost surely, 2498252288 is an apocalyptic number.

498252288 is a gapful number since it is divisible by the number (48) 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 498252288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667077840).

498252288 is an abundant number, since it is smaller than the sum of its proper divisors (835903392).

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

498252288 is a wasteful number, since it uses less digits than its factorization.

498252288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1661 counting only the distinct ones).

The product of its digits is 737280, while the sum is 48.

The square root of 498252288 is about 22321.5655364941. The cubic root of 498252288 is about 792.7746731061.

The spelling of 498252288 in words is "four hundred ninety-eight million, two hundred fifty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 227 256 384 454 512 681 768 908 1362 1429 1536 1816 2724 2858 3632 4287 5448 5716 7264 8574 10896 11432 14528 17148 21792 22864 29056 34296 43584 45728 58112 68592 87168 91456 116224 137184 174336 182912 274368 324383 348672 365824 548736 648766 731648 973149 1097472 1297532 1946298 2194944 2595064 3892596 5190128 7785192 10380256 15570384 20760512 31140768 41521024 62281536 83042048 124563072 166084096 249126144 498252288