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497468416 = 210172412
BaseRepresentation
bin11101101001101…
…100010000000000
31021200002000101011
4131221230100000
52004322442131
6121210250304
715220261144
oct3551542000
91250060334
10497468416
11235898425
1211a726994
137c0a9a13
144a0d7224
152da180b1
hex1da6c400

497468416 has 99 divisors (see below), whose sum is σ = 1082783167. Its totient is φ = 228392960.

The previous prime is 497468383. The next prime is 497468423. The reversal of 497468416 is 614864794.

The square root of 497468416 is 22304.

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

It can be written as a sum of positive squares in 4 ways, for example, as 35046400 + 462422016 = 5920^2 + 21504^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 497468416.

It is an unprimeable number.

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, 12133356 + ... + 12133396.

Almost surely, 2497468416 is an apocalyptic number.

497468416 is the 22304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 497468416

497468416 is an abundant number, since it is smaller than the sum of its proper divisors (585314751).

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

497468416 is an equidigital number, since it uses as much as digits as its factorization.

497468416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 60 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 49.

The cubic root of 497468416 is about 792.3587124522.

Multiplying 497468416 by its sum of digits (49), we get a square (24375952384 = 1561282).

The spelling of 497468416 in words is "four hundred ninety-seven million, four hundred sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 128 136 164 256 272 289 328 512 544 578 656 697 1024 1088 1156 1312 1394 1681 2176 2312 2624 2788 3362 4352 4624 5248 5576 6724 8704 9248 10496 11152 11849 13448 17408 18496 20992 22304 23698 26896 28577 36992 41984 44608 47396 53792 57154 73984 89216 94792 107584 114308 147968 178432 189584 215168 228616 295936 356864 379168 430336 457232 485809 713728 758336 860672 914464 971618 1516672 1721344 1828928 1943236 3033344 3657856 3886472 6066688 7315712 7772944 12133376 14631424 15545888 29262848 31091776 62183552 124367104 248734208 497468416