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996047808 = 2637838929
BaseRepresentation
bin111011010111100…
…111101111000000
32120102020110201120
4323113213233000
54014442012213
6242500432240
733453160320
oct7327475700
92512213646
10996047808
11471274508
122396a8680
1312b485302
14963dd280
155c6a0423
hex3b5e7bc0

996047808 has 112 divisors (see below), whose sum is σ = 3048487680. Its totient is φ = 281124864.

The previous prime is 996047803. The next prime is 996047837. The reversal of 996047808 is 808740699.

It is a happy number.

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

It is a super-2 number, since 2×9960478082 = 1984222471643209728, which contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996047803) 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, 107088 + ... + 116016.

It is an arithmetic number, because the mean of its divisors is an integer number (27218640).

Almost surely, 2996047808 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 996047808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524243840).

996047808 is an abundant number, since it is smaller than the sum of its proper divisors (2052439872).

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

996047808 is a wasteful number, since it uses less digits than its factorization.

996047808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9034 (or 9024 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 996047808 is about 31560.2250942543. The cubic root of 996047808 is about 998.6808633102.

The spelling of 996047808 in words is "nine hundred ninety-six million, forty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 83 84 96 112 166 168 192 224 249 332 336 448 498 581 664 672 996 1162 1328 1344 1743 1992 2324 2656 3486 3984 4648 5312 6972 7968 8929 9296 13944 15936 17858 18592 26787 27888 35716 37184 53574 55776 62503 71432 107148 111552 125006 142864 187509 214296 250012 285728 375018 428592 500024 571456 741107 750036 857184 1000048 1482214 1500072 1714368 2000096 2223321 2964428 3000144 4000192 4446642 5187749 5928856 6000288 8893284 10375498 11857712 12000576 15563247 17786568 20750996 23715424 31126494 35573136 41501992 47430848 62252988 71146272 83003984 124505976 142292544 166007968 249011952 332015936 498023904 996047808