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497216016 = 243311195507
BaseRepresentation
bin11101101000101…
…110101000010000
31021122121012011000
4131220232220100
52004241403031
6121201022000
715215160243
oct3550565020
91248535130
10497216016
11235735830
1211a624900
137c01bb7b
144a06d25a
152d9b83e6
hex1da2ea10

497216016 has 160 divisors (see below), whose sum is σ = 1639180800. Its totient is φ = 142715520.

The previous prime is 497215993. The next prime is 497216023. The reversal of 497216016 is 610612794.

497216016 is a `hidden beast` number, since 49 + 7 + 2 + 1 + 601 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87535 + ... + 93041.

It is an arithmetic number, because the mean of its divisors is an integer number (10244880).

Almost surely, 2497216016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 497216016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819590400).

497216016 is an abundant number, since it is smaller than the sum of its proper divisors (1141964784).

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

497216016 is a wasteful number, since it uses less digits than its factorization.

497216016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5554 (or 5542 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 497216016 is about 22298.3411042167. The cubic root of 497216016 is about 792.2246837278.

The spelling of 497216016 in words is "four hundred ninety-seven million, two hundred sixteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 33 36 38 44 48 54 57 66 72 76 88 99 108 114 132 144 152 171 176 198 209 216 228 264 297 304 342 396 418 432 456 513 528 594 627 684 792 836 912 1026 1188 1254 1368 1584 1672 1881 2052 2376 2508 2736 3344 3762 4104 4752 5016 5507 5643 7524 8208 10032 11014 11286 15048 16521 22028 22572 30096 33042 44056 45144 49563 60577 66084 88112 90288 99126 104633 121154 132168 148689 181731 198252 209266 242308 264336 297378 313899 363462 396504 418532 484616 545193 594756 627798 726924 793008 837064 941697 969232 1090386 1150963 1189512 1255596 1453848 1635579 1674128 1883394 2180772 2301926 2379024 2511192 2825091 2907696 3271158 3452889 3766788 4361544 4603852 5022384 5650182 6542316 6905778 7533576 8723088 9207704 10358667 11300364 13084632 13811556 15067152 18415408 20717334 22600728 26169264 27623112 31076001 41434668 45201456 55246224 62152002 82869336 124304004 165738672 248608008 497216016