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83861036 = 227231071217
BaseRepresentation
bin1001111111110…
…01111000101100
312211210120201022
410333321320230
5132432023121
612153233312
72035543550
oct477717054
9184716638
1083861036
1143379046
1224102838
13144b291c
14b1cd860
157567aab
hex4ff9e2c

83861036 has 48 divisors (see below), whose sum is σ = 176795136. Its totient is φ = 34028544.

The previous prime is 83861023. The next prime is 83861039. The reversal of 83861036 is 63016838.

It is a happy number.

It is a super-3 number, since 3×838610363 (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 83860987 and 83861005.

It is not an unprimeable number, because it can be changed into a prime (83861039) 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 15 ways as a sum of consecutive naturals, for example, 68300 + ... + 69516.

It is an arithmetic number, because the mean of its divisors is an integer number (3683232).

Almost surely, 283861036 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 83861036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88397568).

83861036 is an abundant number, since it is smaller than the sum of its proper divisors (92934100).

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

83861036 is a wasteful number, since it uses less digits than its factorization.

83861036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 83861036 is about 9157.5671441710. The cubic root of 83861036 is about 437.7102745391.

The spelling of 83861036 in words is "eighty-three million, eight hundred sixty-one thousand, thirty-six".

Divisors: 1 2 4 7 14 23 28 46 92 107 161 214 322 428 644 749 1217 1498 2434 2461 2996 4868 4922 8519 9844 17038 17227 27991 34076 34454 55982 68908 111964 130219 195937 260438 391874 520876 783748 911533 1823066 2995037 3646132 5990074 11980148 20965259 41930518 83861036