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985078332 = 2232719233883
BaseRepresentation
bin111010101101110…
…001101000111100
32112122121011102200
4322231301220330
54004140001312
6241425351500
733261012330
oct7255615074
92478534380
10985078332
11466061a27
12235a98590
131291143b4
1494b857c0
155b7350dc
hex3ab71a3c

985078332 has 144 divisors (see below), whose sum is σ = 3011823360. Its totient is φ = 265192704.

The previous prime is 985078331. The next prime is 985078333. The reversal of 985078332 is 233870589.

It is an interprime number because it is at equal distance from previous prime (985078331) and next prime (985078333).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985078331) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1115163 + ... + 1116045.

It is an arithmetic number, because the mean of its divisors is an integer number (20915440).

Almost surely, 2985078332 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 985078332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505911680).

985078332 is an abundant number, since it is smaller than the sum of its proper divisors (2026745028).

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

985078332 is a wasteful number, since it uses less digits than its factorization.

985078332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 985078332 is about 31385.9575606672. The cubic root of 985078332 is about 995.0011639423.

The spelling of 985078332 in words is "nine hundred eighty-five million, seventy-eight thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 233 252 266 342 399 466 532 684 699 798 883 932 1197 1398 1596 1631 1766 2097 2394 2649 2796 3262 3532 4194 4427 4788 4893 5298 6181 6524 7947 8388 8854 9786 10596 12362 13281 14679 15894 16777 17708 18543 19572 24724 26562 29358 30989 31788 33554 37086 39843 50331 53124 55629 58716 61978 67108 74172 79686 92967 100662 111258 117439 123956 150993 159372 185934 201324 205739 222516 234878 278901 301986 352317 371868 411478 469756 557802 603972 617217 704634 822956 1056951 1115604 1234434 1409268 1440173 1851651 2113902 2468868 2880346 3703302 3909041 4227804 4320519 5760692 7406604 7818082 8641038 11727123 12961557 15636164 17282076 23454246 25923114 27363287 35181369 46908492 51846228 54726574 70362738 82089861 109453148 140725476 164179722 246269583 328359444 492539166 985078332