Search a number
-
+
83435429 = 711298507
BaseRepresentation
bin1001111100100…
…01111110100101
312210222221220002
410332101332211
5132324413204
612140151045
72032121660
oct476217645
9183887802
1083435429
1143108300
1223b38485
1314393c9c
14b11c6d7
1574d191e
hex4f91fa5

83435429 has 12 divisors (see below), whose sum is σ = 104812512. Its totient is φ = 65013960.

The previous prime is 83435411. The next prime is 83435431. The reversal of 83435429 is 92453438.

It is not a de Polignac number, because 83435429 - 28 = 83435173 is a prime.

It is a super-2 number, since 2×834354292 = 13922941624828082, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 83435392 and 83435401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83435449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48407 + ... + 50100.

It is an arithmetic number, because the mean of its divisors is an integer number (8734376).

Almost surely, 283435429 is an apocalyptic number.

It is an amenable number.

83435429 is a deficient number, since it is larger than the sum of its proper divisors (21377083).

83435429 is a wasteful number, since it uses less digits than its factorization.

83435429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98536 (or 98525 counting only the distinct ones).

The product of its digits is 103680, while the sum is 38.

The square root of 83435429 is about 9134.2995900069. The cubic root of 83435429 is about 436.9685371313.

Subtracting 83435429 from its reverse (92453438), we obtain a square (9018009 = 30032).

It can be divided in two parts, 834 and 35429, that added together give a palindrome (36263).

The spelling of 83435429 in words is "eighty-three million, four hundred thirty-five thousand, four hundred twenty-nine".

Divisors: 1 7 11 77 121 847 98507 689549 1083577 7585039 11919347 83435429