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489696768 = 2932119661
BaseRepresentation
bin11101001100000…
…010111000000000
31021010110011200100
4131030002320000
52000330244033
6120331522400
715064232241
oct3514027000
91233404610
10489696768
1123146a480
12117bb9400
137a5b8502
1449072cc8
152ced0513
hex1d302e00

489696768 has 120 divisors (see below), whose sum is σ = 1541939256. Its totient is φ = 148377600.

The previous prime is 489696731. The next prime is 489696787. The reversal of 489696768 is 867696984.

489696768 is a `hidden beast` number, since 489 + 6 + 96 + 7 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45858 + ... + 55518.

Almost surely, 2489696768 is an apocalyptic number.

489696768 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 489696768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770969628).

489696768 is an abundant number, since it is smaller than the sum of its proper divisors (1052242488).

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

489696768 is a wasteful number, since it uses less digits than its factorization.

489696768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9696 (or 9677 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The square root of 489696768 is about 22129.0932484817. The cubic root of 489696768 is about 788.2108568490.

The spelling of 489696768 in words is "four hundred eighty-nine million, six hundred ninety-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1056 1152 1408 1536 1584 2112 2304 2816 3168 4224 4608 5632 6336 8448 9661 12672 16896 19322 25344 28983 38644 50688 57966 77288 86949 106271 115932 154576 173898 212542 231864 309152 318813 347796 425084 463728 618304 637626 695592 850168 927456 956439 1236608 1275252 1391184 1700336 1854912 1912878 2473216 2550504 2782368 3400672 3709824 3825756 4946432 5101008 5564736 6801344 7419648 7651512 10202016 11129472 13602688 14839296 15303024 20404032 22258944 27205376 30606048 40808064 44517888 54410752 61212096 81616128 122424192 163232256 244848384 489696768