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83413233 = 342414273
BaseRepresentation
bin1001111100011…
…00100011110001
312210221211110000
410332030203301
5132323210413
612135500213
72032000161
oct476144361
9183854400
1083413233
11430a2662
1223b27669
1314386b57
14b1145a1
1574ca073
hex4f8c8f1

83413233 has 20 divisors (see below), whose sum is σ = 125151268. Its totient is φ = 55365120.

The previous prime is 83413217. The next prime is 83413243. The reversal of 83413233 is 33231438.

It can be written as a sum of positive squares in 2 ways, for example, as 42810849 + 40602384 = 6543^2 + 6372^2 .

It is not a de Polignac number, because 83413233 - 24 = 83413217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83413197 and 83413206.

It is not an unprimeable number, because it can be changed into a prime (83413243) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17385 + ... + 21657.

Almost surely, 283413233 is an apocalyptic number.

It is an amenable number.

83413233 is a deficient number, since it is larger than the sum of its proper divisors (41738035).

83413233 is a wasteful number, since it uses less digits than its factorization.

83413233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4526 (or 4517 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 83413233 is about 9133.0845282413. The cubic root of 83413233 is about 436.9297853526.

The spelling of 83413233 in words is "eighty-three million, four hundred thirteen thousand, two hundred thirty-three".

Divisors: 1 3 9 27 81 241 723 2169 4273 6507 12819 19521 38457 115371 346113 1029793 3089379 9268137 27804411 83413233