Search a number
-
+
83288923 = 836131637
BaseRepresentation
bin1001111011011…
…10001101011011
312210201111220221
410331232031123
5132310221143
612133100511
72030641564
oct475561533
9183644827
1083288923
1143018223
1223a87737
13143423b3
14b0c116b
1574a32ed
hex4f6e35b

83288923 has 8 divisors (see below), whose sum is σ = 84481488. Its totient is φ = 82101024.

The previous prime is 83288921. The next prime is 83288927. The reversal of 83288923 is 32988238.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 83288923 - 21 = 83288921 is a prime.

It is a super-3 number, since 3×832889233 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 83288923.

It is not an unprimeable number, because it can be changed into a prime (83288921) 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 7 ways as a sum of consecutive naturals, for example, 50061 + ... + 51697.

It is an arithmetic number, because the mean of its divisors is an integer number (10560186).

Almost surely, 283288923 is an apocalyptic number.

83288923 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

83288923 is a deficient number, since it is larger than the sum of its proper divisors (1192565).

83288923 is a wasteful number, since it uses less digits than its factorization.

83288923 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333.

The product of its digits is 165888, while the sum is 43.

The square root of 83288923 is about 9126.2765134528. The cubic root of 83288923 is about 436.7126265813.

It can be divided in two parts, 83 and 288923, that multiplied together give a square (23980609 = 48972).

The spelling of 83288923 in words is "eighty-three million, two hundred eighty-eight thousand, nine hundred twenty-three".

Divisors: 1 83 613 1637 50879 135871 1003481 83288923