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42816429 = 3235313477
BaseRepresentation
bin1010001101010…
…1001110101101
32222120022002200
42203111032231
541430111204
64125412113
71026635145
oct243251655
988508080
1042816429
1122194687
121240a039
138b41786
145987925
153b5b539
hex28d53ad

42816429 has 12 divisors (see below), whose sum is σ = 62025756. Its totient is φ = 28461312.

The previous prime is 42816419. The next prime is 42816439. The reversal of 42816429 is 92461824.

42816429 is a `hidden beast` number, since 4 + 2 + 8 + 1 + 642 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (42816419) and next prime (42816439).

It can be written as a sum of positive squares in 2 ways, for example, as 23474025 + 19342404 = 4845^2 + 4398^2 .

It is a de Polignac number, because none of the positive numbers 2k-42816429 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 42816393 and 42816402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42816419) 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, 3562 + ... + 9915.

It is an arithmetic number, because the mean of its divisors is an integer number (5168813).

Almost surely, 242816429 is an apocalyptic number.

It is an amenable number.

42816429 is a deficient number, since it is larger than the sum of its proper divisors (19209327).

42816429 is a wasteful number, since it uses less digits than its factorization.

42816429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13836 (or 13833 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 42816429 is about 6543.4263960100. The cubic root of 42816429 is about 349.8405504999.

The spelling of 42816429 in words is "forty-two million, eight hundred sixteen thousand, four hundred twenty-nine".

Divisors: 1 3 9 353 1059 3177 13477 40431 121293 4757381 14272143 42816429