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83834051 = 722277537
BaseRepresentation
bin1001111111100…
…11010011000011
312211202012200212
410333303103003
5132430142201
612152504335
72035402100
oct477632303
9184665625
1083834051
114335a844
12240ab0ab
13144a3562
14b1c3aa7
15755eabb
hex4ff34c3

83834051 has 12 divisors (see below), whose sum is σ = 97963848. Its totient is φ = 71531712.

The previous prime is 83834033. The next prime is 83834059. The reversal of 83834051 is 15043838.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-83834051 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83833999 and 83834017.

It is not an unprimeable number, because it can be changed into a prime (83834059) 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, 7355 + ... + 14891.

It is an arithmetic number, because the mean of its divisors is an integer number (8163654).

Almost surely, 283834051 is an apocalyptic number.

83834051 is a deficient number, since it is larger than the sum of its proper divisors (14129797).

83834051 is a wasteful number, since it uses less digits than its factorization.

83834051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7778 (or 7771 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 83834051 is about 9156.0936539553. The cubic root of 83834051 is about 437.6633203577.

Adding to 83834051 its reverse (15043838), we get a palindrome (98877889).

The spelling of 83834051 in words is "eighty-three million, eight hundred thirty-four thousand, fifty-one".

Divisors: 1 7 49 227 1589 7537 11123 52759 369313 1710899 11976293 83834051