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497111616 = 26329292
BaseRepresentation
bin11101101000010…
…101001001000000
31021122101212221100
4131220111021000
52004230032431
6121154454400
715214244001
oct3550251100
91248355840
10497111616
11235674351
1211a594400
137bcb34b1
144a0431a8
152d9974e6
hex1da15240

497111616 has 63 divisors (see below), whose sum is σ = 1426416121. Its totient is φ = 165525504.

The previous prime is 497111609. The next prime is 497111617. The reversal of 497111616 is 616111794.

The square root of 497111616 is 22296.

It is a perfect power (a square), and thus also a powerful number.

497111616 is a `hidden beast` number, since 497 + 1 + 1 + 161 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9585216 + 487526400 = 3096^2 + 22080^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (497111617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 534640 + ... + 535568.

Almost surely, 2497111616 is an apocalyptic number.

497111616 is the 22296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 497111616

497111616 is an abundant number, since it is smaller than the sum of its proper divisors (929304505).

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

497111616 is an frugal number, since it uses more digits than its factorization.

497111616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 934 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The cubic root of 497111616 is about 792.1692322784.

Multiplying 497111616 by its sum of digits (36), we get a square (17896018176 = 1337762).

497111616 divided by its sum of digits (36) gives a square (13808656 = 37162).

The spelling of 497111616 in words is "four hundred ninety-seven million, one hundred eleven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 929 1858 2787 3716 5574 7432 8361 11148 14864 16722 22296 29728 33444 44592 59456 66888 89184 133776 178368 267552 535104 863041 1726082 2589123 3452164 5178246 6904328 7767369 10356492 13808656 15534738 20712984 27617312 31069476 41425968 55234624 62138952 82851936 124277904 165703872 248555808 497111616