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497645520 = 243516312721
BaseRepresentation
bin11101101010010…
…111011111010000
31021200102000022120
4131222113133100
52004344124040
6121214134240
715221626401
oct3552273720
91250360276
10497645520
112359a9499
1211a7b1380
137c13c508
144a1419a8
152da507d0
hex1da977d0

497645520 has 80 divisors (see below), whose sum is σ = 1552287552. Its totient is φ = 131880960.

The previous prime is 497645509. The next prime is 497645527. The reversal of 497645520 is 25546794.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (497645527) 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 15 ways as a sum of consecutive naturals, for example, 32760 + ... + 45480.

Almost surely, 2497645520 is an apocalyptic number.

497645520 is a gapful number since it is divisible by the number (40) 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 497645520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776143776).

497645520 is an abundant number, since it is smaller than the sum of its proper divisors (1054642032).

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

497645520 is a wasteful number, since it uses less digits than its factorization.

497645520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12900 (or 12894 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 497645520 is about 22307.9698762572. The cubic root of 497645520 is about 792.4527306473.

The spelling of 497645520 in words is "four hundred ninety-seven million, six hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 163 240 326 489 652 815 978 1304 1630 1956 2445 2608 3260 3912 4890 6520 7824 9780 12721 13040 19560 25442 38163 39120 50884 63605 76326 101768 127210 152652 190815 203536 254420 305304 381630 508840 610608 763260 1017680 1526520 2073523 3053040 4147046 6220569 8294092 10367615 12441138 16588184 20735230 24882276 31102845 33176368 41470460 49764552 62205690 82940920 99529104 124411380 165881840 248822760 497645520