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498197952 = 2634713729
BaseRepresentation
bin11101101100011…
…110010111000000
31021201110002010000
4131230132113000
52010014313302
6121234040000
715226420110
oct3554362700
91251402100
10498197952
1123624654a
1211aa19000
137c2a3ab5
144a247040
152db0e31c
hex1db1e5c0

498197952 has 140 divisors (see below), whose sum is σ = 1687911280. Its totient is φ = 142331904.

The previous prime is 498197951. The next prime is 498197969. The reversal of 498197952 is 259791894.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498197951) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29424 + ... + 43152.

Almost surely, 2498197952 is an apocalyptic number.

498197952 is a gapful number since it is divisible by the number (42) 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 498197952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843955640).

498197952 is an abundant number, since it is smaller than the sum of its proper divisors (1189713328).

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

498197952 is a wasteful number, since it uses less digits than its factorization.

498197952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13760 (or 13741 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The square root of 498197952 is about 22320.3483843779. The cubic root of 498197952 is about 792.7458538569.

The spelling of 498197952 in words is "four hundred ninety-eight million, one hundred ninety-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 3024 4032 4536 5184 6048 9072 12096 13729 18144 27458 36288 41187 54916 82374 96103 109832 123561 164748 192206 219664 247122 288309 329496 370683 384412 439328 494244 576618 658992 741366 768824 864927 878656 988488 1112049 1153236 1317984 1482732 1537648 1729854 1976976 2224098 2306472 2594781 2635968 2965464 3075296 3459708 3953952 4448196 4612944 5189562 5930928 6150592 6919416 7784343 7907904 8896392 9225888 10379124 11861856 13838832 15568686 17792784 18451776 20758248 23723712 27677664 31137372 35585568 41516496 55355328 62274744 71171136 83032992 124549488 166065984 249098976 498197952