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497029968 = 243219389467
BaseRepresentation
bin11101101000000…
…001001101010000
31021122020201221100
4131220001031100
52004214424333
6121153024400
715213453651
oct3550011520
91248221840
10497029968
11235618a76
1211a555100
137bc85296
144a021528
152d97d213
hex1da01350

497029968 has 120 divisors (see below), whose sum is σ = 1471111200. Its totient is φ = 156218112.

The previous prime is 497029957. The next prime is 497029993. The reversal of 497029968 is 869920794.

497029968 is a `hidden beast` number, since 497 + 0 + 2 + 99 + 68 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1064071 + ... + 1064537.

It is an arithmetic number, because the mean of its divisors is an integer number (12259260).

Almost surely, 2497029968 is an apocalyptic number.

497029968 is a gapful number since it is divisible by the number (48) 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 497029968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735555600).

497029968 is an abundant number, since it is smaller than the sum of its proper divisors (974081232).

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

497029968 is a wasteful number, since it uses less digits than its factorization.

497029968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 497029968 is about 22294.1689237343. The cubic root of 497029968 is about 792.1258600102.

The spelling of 497029968 in words is "four hundred ninety-seven million, twenty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 389 456 467 684 778 912 934 1167 1368 1401 1556 1868 2334 2736 2802 3112 3501 3736 4203 4668 5604 6224 7002 7391 7472 8406 8873 9336 11208 14004 14782 16812 17746 18672 22173 22416 26619 28008 29564 33624 35492 44346 53238 56016 59128 66519 67248 70984 79857 88692 106476 118256 133038 141968 159714 177384 181663 212952 266076 319428 354768 363326 425904 532152 544989 638856 726652 1064304 1089978 1277712 1453304 1634967 2179956 2906608 3269934 3451597 4359912 6539868 6903194 8719824 10354791 13079736 13806388 20709582 26159472 27612776 31064373 41419164 55225552 62128746 82838328 124257492 165676656 248514984 497029968