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498421248 = 29313109229
BaseRepresentation
bin11101101101010…
…100111000000000
31021201212102102020
4131231110320000
52010043434443
6121242521440
715231340113
oct3555247000
91251772366
10498421248
11236389296
1211ab06280
137c351620
144a2a457a
152db55583
hex1db54e00

498421248 has 160 divisors (see below), whose sum is σ = 1449386400. Its totient is φ = 151289856.

The previous prime is 498421159. The next prime is 498421267. The reversal of 498421248 is 842124894.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2176398 + ... + 2176626.

It is an arithmetic number, because the mean of its divisors is an integer number (9058665).

Almost surely, 2498421248 is an apocalyptic number.

498421248 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 498421248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724693200).

498421248 is an abundant number, since it is smaller than the sum of its proper divisors (950965152).

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

498421248 is a wasteful number, since it uses less digits than its factorization.

498421248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 356 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 498421248 is about 22325.3498964742. The cubic root of 498421248 is about 792.8642743477.

The spelling of 498421248 in words is "four hundred ninety-eight million, four hundred twenty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 109 128 156 192 208 218 229 256 312 327 384 416 436 458 512 624 654 687 768 832 872 916 1248 1308 1374 1417 1536 1664 1744 1832 2496 2616 2748 2834 2977 3328 3488 3664 4251 4992 5232 5496 5668 5954 6656 6976 7328 8502 8931 9984 10464 10992 11336 11908 13952 14656 17004 17862 19968 20928 21984 22672 23816 24961 27904 29312 34008 35724 41856 43968 45344 47632 49922 55808 58624 68016 71448 74883 83712 87936 90688 95264 99844 117248 136032 142896 149766 167424 175872 181376 190528 199688 272064 285792 299532 324493 351744 362752 381056 399376 544128 571584 599064 648986 725504 762112 798752 973479 1088256 1143168 1198128 1297972 1524224 1597504 1946958 2176512 2286336 2396256 2595944 3195008 3893916 4572672 4792512 5191888 6390016 7787832 9585024 10383776 12780032 15575664 19170048 20767552 31151328 38340096 41535104 62302656 83070208 124605312 166140416 249210624 498421248