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996403776 = 26319713847
BaseRepresentation
bin111011011000111…
…110101001000000
32120102220120000120
4323120332221000
54020034410101
6242512220240
733456202164
oct7330765100
92512816016
10996403776
114714979a5
1223983a680
1312b57b344
1496492ca4
155c720b36
hex3b63ea40

996403776 has 112 divisors (see below), whose sum is σ = 2814888960. Its totient is φ = 310141440.

The previous prime is 996403753. The next prime is 996403777. The reversal of 996403776 is 677304699.

996403776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (996403777) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257085 + ... + 260931.

Almost surely, 2996403776 is an apocalyptic number.

996403776 is a gapful number since it is divisible by the number (96) 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 996403776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407444480).

996403776 is an abundant number, since it is smaller than the sum of its proper divisors (1818485184).

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

996403776 is a wasteful number, since it uses less digits than its factorization.

996403776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952 (or 3942 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 51.

The square root of 996403776 is about 31565.8640939861. The cubic root of 996403776 is about 998.7998188080.

The spelling of 996403776 in words is "nine hundred ninety-six million, four hundred three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 71 76 96 114 142 152 192 213 228 284 304 426 456 568 608 852 912 1136 1216 1349 1704 1824 2272 2698 3408 3648 3847 4047 4544 5396 6816 7694 8094 10792 11541 13632 15388 16188 21584 23082 30776 32376 43168 46164 61552 64752 73093 86336 92328 123104 129504 146186 184656 219279 246208 259008 273137 292372 369312 438558 546274 584744 738624 819411 877116 1092548 1169488 1638822 1754232 2185096 2338976 3277644 3508464 4370192 4677952 5189603 6555288 7016928 8740384 10379206 13110576 14033856 15568809 17480768 20758412 26221152 31137618 41516824 52442304 62275236 83033648 124550472 166067296 249100944 332134592 498201888 996403776