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497518240 = 25513722697
BaseRepresentation
bin11101101001111…
…000011010100000
31021200011112201111
4131221320122200
52004331040430
6121211313104
715220556332
oct3551703240
91250145644
10497518240
112359218aa
1211a74b794
137c0c65bb
144a10b452
152da27c2a
hex1da786a0

497518240 has 48 divisors (see below), whose sum is σ = 1184018472. Its totient is φ = 197545984.

The previous prime is 497518199. The next prime is 497518253. The reversal of 497518240 is 42815794.

It can be written as a sum of positive squares in 4 ways, for example, as 246992656 + 250525584 = 15716^2 + 15828^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 497518193 and 497518202.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10572 + ... + 33268.

Almost surely, 2497518240 is an apocalyptic number.

497518240 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 497518240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592009236).

497518240 is an abundant number, since it is smaller than the sum of its proper divisors (686500232).

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

497518240 is a wasteful number, since it uses less digits than its factorization.

497518240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22849 (or 22841 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 497518240 is about 22305.1169017336. The cubic root of 497518240 is about 792.3851644917.

The spelling of 497518240 in words is "four hundred ninety-seven million, five hundred eighteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 137 160 274 548 685 1096 1370 2192 2740 4384 5480 10960 21920 22697 45394 90788 113485 181576 226970 363152 453940 726304 907880 1815760 3109489 3631520 6218978 12437956 15547445 24875912 31094890 49751824 62189780 99503648 124379560 248759120 497518240