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996730656 = 25316363697
BaseRepresentation
bin111011011010001…
…110011100100000
32120110112011102020
4323122032130200
54020130340111
6242523221440
733462033165
oct7332163440
92513464366
10996730656
114716a0549
12239977880
1312b66406c
149653a06c
155c787906
hex3b68e720

996730656 has 48 divisors (see below), whose sum is σ = 2632510944. Its totient is φ = 330200064.

The previous prime is 996730643. The next prime is 996730663. The reversal of 996730656 is 656037699.

996730656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×9967306562 = 1986944001220380672, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 996730599 and 996730608.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16201 + ... + 47496.

It is an arithmetic number, because the mean of its divisors is an integer number (54843978).

Almost surely, 2996730656 is an apocalyptic number.

996730656 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

996730656 is an abundant number, since it is smaller than the sum of its proper divisors (1635780288).

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

996730656 is a wasteful number, since it uses less digits than its factorization.

996730656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63873 (or 63865 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 51.

The square root of 996730656 is about 31571.0414145622. The cubic root of 996730656 is about 998.9090288815.

The spelling of 996730656 in words is "nine hundred ninety-six million, seven hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 163 326 489 652 978 1304 1956 2608 3912 5216 7824 15648 63697 127394 191091 254788 382182 509576 764364 1019152 1528728 2038304 3057456 6114912 10382611 20765222 31147833 41530444 62295666 83060888 124591332 166121776 249182664 332243552 498365328 996730656