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995081856 = 2736738677
BaseRepresentation
bin111011010011111…
…011111010000000
32120100102101200120
4323103323322000
54014220104411
6242424020240
733442025166
oct7323737200
92510371616
10995081856
114707747aa
12239301680
1312b207742
149622b236
155c55e106
hex3b4fbe80

995081856 has 64 divisors (see below), whose sum is σ = 2682706080. Its totient is φ = 326734848.

The previous prime is 995081833. The next prime is 995081873. The reversal of 995081856 is 658180599.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 995081799 and 995081808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6390 + ... + 45066.

Almost surely, 2995081856 is an apocalyptic number.

995081856 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 995081856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341353040).

995081856 is an abundant number, since it is smaller than the sum of its proper divisors (1687624224).

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

995081856 is a wasteful number, since it uses less digits than its factorization.

995081856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38761 (or 38749 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 51.

The square root of 995081856 is about 31544.9180693182. The cubic root of 995081856 is about 998.3579237281.

It can be divided in two parts, 9950 and 81856, that added together give a triangular number (91806 = T428).

The spelling of 995081856 in words is "nine hundred ninety-five million, eighty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 268 384 402 536 804 1072 1608 2144 3216 4288 6432 8576 12864 25728 38677 77354 116031 154708 232062 309416 464124 618832 928248 1237664 1856496 2475328 2591359 3712992 4950656 5182718 7425984 7774077 10365436 14851968 15548154 20730872 31096308 41461744 62192616 82923488 124385232 165846976 248770464 331693952 497540928 995081856