Search a number
-
+
497163968 = 2673789337
BaseRepresentation
bin11101101000100…
…001111011000000
31021122111112202022
4131220201323000
52004233221333
6121155541012
715214552430
oct3550417300
91248445668
10497163968
112356aa714
1211a5ba768
137c001282
144a0582c0
152d9a7c98
hex1da21ec0

497163968 has 112 divisors (see below), whose sum is σ = 1174455360. Its totient is φ = 204374016.

The previous prime is 497163959. The next prime is 497163973. The reversal of 497163968 is 869361794.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×4971639682 = 494344022155010048, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1475096 + ... + 1475432.

Almost surely, 2497163968 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 497163968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587227680).

497163968 is an abundant number, since it is smaller than the sum of its proper divisors (677291392).

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

497163968 is a wasteful number, since it uses less digits than its factorization.

497163968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 472 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 53.

The square root of 497163968 is about 22297.1739913380. The cubic root of 497163968 is about 792.1970397074.

The spelling of 497163968 in words is "four hundred ninety-seven million, one hundred sixty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 89 112 148 178 224 259 296 337 356 448 518 592 623 674 712 1036 1184 1246 1348 1424 2072 2359 2368 2492 2696 2848 3293 4144 4718 4984 5392 5696 6586 8288 9436 9968 10784 12469 13172 16576 18872 19936 21568 23051 24938 26344 29993 37744 39872 46102 49876 52688 59986 75488 87283 92204 99752 105376 119972 150976 174566 184408 199504 209951 210752 239944 349132 368816 399008 419902 479888 698264 737632 798016 839804 959776 1109741 1396528 1475264 1679608 1919552 2219482 2793056 3359216 4438964 5586112 6718432 7768187 8877928 13436864 15536374 17755856 31072748 35511712 62145496 71023424 124290992 248581984 497163968