Search a number
-
+
83788386 = 23112131881
BaseRepresentation
bin1001111111010…
…00001001100010
312211122220001120
410333220021202
5132422212021
612151513110
72035122003
oct477501142
9184586046
1083788386
1143329500
1224088796
1314488836
14b1b11aa
1575512c6
hex4fe8262

83788386 has 48 divisors (see below), whose sum is σ = 185812704. Its totient is φ = 25168000.

The previous prime is 83788373. The next prime is 83788403. The reversal of 83788386 is 68388738.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94666 + ... + 95546.

It is an arithmetic number, because the mean of its divisors is an integer number (3871098).

Almost surely, 283788386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83788386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92906352).

83788386 is an abundant number, since it is smaller than the sum of its proper divisors (102024318).

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

83788386 is a wasteful number, since it uses less digits than its factorization.

83788386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1028 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 51.

The square root of 83788386 is about 9153.5996198217. The cubic root of 83788386 is about 437.5838398236.

The spelling of 83788386 in words is "eighty-three million, seven hundred eighty-eight thousand, three hundred eighty-six".

Divisors: 1 2 3 6 11 22 33 66 121 131 242 262 363 393 726 786 881 1441 1762 2643 2882 4323 5286 8646 9691 15851 19382 29073 31702 47553 58146 95106 106601 115411 213202 230822 319803 346233 639606 692466 1269521 2539042 3808563 7617126 13964731 27929462 41894193 83788386